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Simplifying 2(a + -8) = 5(a + 4) Reorder the terms: 2(-8 + a) = 5(a + 4) (-8 * 2 + a * 2) = 5(a + 4) (-16 + 2a) = 5(a + 4) Reorder the terms: -16 + 2a = 5(4 + a) -16 + 2a = (4 * 5 + a * 5) -16 + 2a = (20 + 5a) Solving -16 + 2a = 20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -16 + 2a + -5a = 20 + 5a + -5a Combine like terms: 2a + -5a = -3a -16 + -3a = 20 + 5a + -5a Combine like terms: 5a + -5a = 0 -16 + -3a = 20 + 0 -16 + -3a = 20 Add '16' to each side of the equation. -16 + 16 + -3a = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -3a = 20 + 16 -3a = 20 + 16 Combine like terms: 20 + 16 = 36 -3a = 36 Divide each side by '-3'. a = -12 Simplifying a = -12
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