7.5(2-a)=-5(0.5q+1)

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Solution for 7.5(2-a)=-5(0.5q+1) equation:


Simplifying
7.5(2 + -1a) = -5(0.5q + 1)
(2 * 7.5 + -1a * 7.5) = -5(0.5q + 1)
(15 + -7.5a) = -5(0.5q + 1)

Reorder the terms:
15 + -7.5a = -5(1 + 0.5q)
15 + -7.5a = (1 * -5 + 0.5q * -5)
15 + -7.5a = (-5 + -2.5q)

Solving
15 + -7.5a = -5 + -2.5q

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -7.5a = -5 + -15 + -2.5q

Combine like terms: 15 + -15 = 0
0 + -7.5a = -5 + -15 + -2.5q
-7.5a = -5 + -15 + -2.5q

Combine like terms: -5 + -15 = -20
-7.5a = -20 + -2.5q

Divide each side by '-7.5'.
a = 2.666666667 + 0.3333333333q

Simplifying
a = 2.666666667 + 0.3333333333q

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