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Simplifying 5(a + 3) = 2(a + -8) Reorder the terms: 5(3 + a) = 2(a + -8) (3 * 5 + a * 5) = 2(a + -8) (15 + 5a) = 2(a + -8) Reorder the terms: 15 + 5a = 2(-8 + a) 15 + 5a = (-8 * 2 + a * 2) 15 + 5a = (-16 + 2a) Solving 15 + 5a = -16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + 5a + -2a = -16 + 2a + -2a Combine like terms: 5a + -2a = 3a 15 + 3a = -16 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 3a = -16 + 0 15 + 3a = -16 Add '-15' to each side of the equation. 15 + -15 + 3a = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -16 + -15 3a = -16 + -15 Combine like terms: -16 + -15 = -31 3a = -31 Divide each side by '3'. a = -10.33333333 Simplifying a = -10.33333333
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