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Simplifying -8(a + 8) = -2(5 + -5a) Reorder the terms: -8(8 + a) = -2(5 + -5a) (8 * -8 + a * -8) = -2(5 + -5a) (-64 + -8a) = -2(5 + -5a) -64 + -8a = (5 * -2 + -5a * -2) -64 + -8a = (-10 + 10a) Solving -64 + -8a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -64 + -8a + -10a = -10 + 10a + -10a Combine like terms: -8a + -10a = -18a -64 + -18a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 -64 + -18a = -10 + 0 -64 + -18a = -10 Add '64' to each side of the equation. -64 + 64 + -18a = -10 + 64 Combine like terms: -64 + 64 = 0 0 + -18a = -10 + 64 -18a = -10 + 64 Combine like terms: -10 + 64 = 54 -18a = 54 Divide each side by '-18'. a = -3 Simplifying a = -3
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