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Simplifying 5(2 + -1a) = 3(a + -2) (2 * 5 + -1a * 5) = 3(a + -2) (10 + -5a) = 3(a + -2) Reorder the terms: 10 + -5a = 3(-2 + a) 10 + -5a = (-2 * 3 + a * 3) 10 + -5a = (-6 + 3a) Solving 10 + -5a = -6 + 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 + -5a + -3a = -6 + 3a + -3a Combine like terms: -5a + -3a = -8a 10 + -8a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -8a = -6 + 0 10 + -8a = -6 Add '-10' to each side of the equation. 10 + -10 + -8a = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8a = -6 + -10 -8a = -6 + -10 Combine like terms: -6 + -10 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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