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Simplifying -5(5 + 5a) = 8(8 + 8a) (5 * -5 + 5a * -5) = 8(8 + 8a) (-25 + -25a) = 8(8 + 8a) -25 + -25a = (8 * 8 + 8a * 8) -25 + -25a = (64 + 64a) Solving -25 + -25a = 64 + 64a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64a' to each side of the equation. -25 + -25a + -64a = 64 + 64a + -64a Combine like terms: -25a + -64a = -89a -25 + -89a = 64 + 64a + -64a Combine like terms: 64a + -64a = 0 -25 + -89a = 64 + 0 -25 + -89a = 64 Add '25' to each side of the equation. -25 + 25 + -89a = 64 + 25 Combine like terms: -25 + 25 = 0 0 + -89a = 64 + 25 -89a = 64 + 25 Combine like terms: 64 + 25 = 89 -89a = 89 Divide each side by '-89'. a = -1 Simplifying a = -1
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