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Simplifying 8(4a + -5) + -7a = 5(5q + -8) Reorder the terms: 8(-5 + 4a) + -7a = 5(5q + -8) (-5 * 8 + 4a * 8) + -7a = 5(5q + -8) (-40 + 32a) + -7a = 5(5q + -8) Combine like terms: 32a + -7a = 25a -40 + 25a = 5(5q + -8) Reorder the terms: -40 + 25a = 5(-8 + 5q) -40 + 25a = (-8 * 5 + 5q * 5) -40 + 25a = (-40 + 25q) Add '40' to each side of the equation. -40 + 40 + 25a = -40 + 40 + 25q Combine like terms: -40 + 40 = 0 0 + 25a = -40 + 40 + 25q 25a = -40 + 40 + 25q Combine like terms: -40 + 40 = 0 25a = 0 + 25q 25a = 25q Solving 25a = 25q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '25'. a = q Simplifying a = q
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