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Simplifying 5(a + -3) = 2a + 12 Reorder the terms: 5(-3 + a) = 2a + 12 (-3 * 5 + a * 5) = 2a + 12 (-15 + 5a) = 2a + 12 Reorder the terms: -15 + 5a = 12 + 2a Solving -15 + 5a = 12 + 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 = 12 + 2a + -2a Combine like terms: 5a + -2a = 3a -15 + 3a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + 3a = 12 + 0 -15 + 3a = 12 Add '15' to each side of the equation. -15 + 15 + 3a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3a = 12 + 15 3a = 12 + 15 Combine like terms: 12 + 15 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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