Ok HI again but the answer should be -0.68 the steps are below! Simplifying 5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5a)
Reorder the terms:
5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5a)
5 + (4 -0.25 + a -0.25) = 3 + 3(0.05 + -0.5a)
5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5a)
Combine like terms: 5 + -1 = 4
4 + -0.25a = 3 + 3(0.05 + -0.5a)
4 + -0.25a = 3 + (0.05 3 + -0.5a 3)
4 + -0.25a = 3 + (0.15 + -1.5a)
Combine like terms: 3 + 0.15 = 3.15
4 + -0.25a = 3.15 + -1.5a
Solving
4 + -0.25a = 3.15 + -1.5a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '1.5a' to each side of the equation.
4 + -0.25a + 1.5a = 3.15 + -1.5a + 1.5a
Combine like terms: -0.25a + 1.5a = 1.25a
4 + 1.25a = 3.15 + -1.5a + 1.5a
Combine like terms: -1.5a + 1.5a = 0.0
4 + 1.25a = 3.15 + 0.0
4 + 1.25a = 3.15
Add '-4' to each side of the equation.
4 + -4 + 1.25a = 3.15 + -4
Combine like terms: 4 + -4 = 0
0 + 1.25a = 3.15 + -4
1.25a = 3.15 + -4
Combine like terms: 3.15 + -4 = -0.85
1.25a = -0.85
Divide each side by '1.25'.
a = -0.68
Simplifying
a = -0.68
