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Simplifying 5(a + -3) = 2(6 + -2a) Reorder the terms: 5(-3 + a) = 2(6 + -2a) (-3 * 5 + a * 5) = 2(6 + -2a) (-15 + 5a) = 2(6 + -2a) -15 + 5a = (6 * 2 + -2a * 2) -15 + 5a = (12 + -4a) Solving -15 + 5a = 12 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -15 + 5a + 4a = 12 + -4a + 4a Combine like terms: 5a + 4a = 9a -15 + 9a = 12 + -4a + 4a Combine like terms: -4a + 4a = 0 -15 + 9a = 12 + 0 -15 + 9a = 12 Add '15' to each side of the equation. -15 + 15 + 9a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9a = 12 + 15 9a = 12 + 15 Combine like terms: 12 + 15 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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