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Simplifying 2(5 + -1a) = 3(a + -5) (5 * 2 + -1a * 2) = 3(a + -5) (10 + -2a) = 3(a + -5) Reorder the terms: 10 + -2a = 3(-5 + a) 10 + -2a = (-5 * 3 + a * 3) 10 + -2a = (-15 + 3a) Solving 10 + -2a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + -2a + -3a = -15 + 3a + -3a Combine like terms: -2a + -3a = -5a 10 + -5a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -5a = -15 + 0 10 + -5a = -15 Add '-10' to each side of the equation. 10 + -10 + -5a = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5a = -15 + -10 -5a = -15 + -10 Combine like terms: -15 + -10 = -25 -5a = -25 Divide each side by '-5'. a = 5 Simplifying a = 5
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