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Simplifying 5(a + 3) = 3a + -7 Reorder the terms: 5(3 + a) = 3a + -7 (3 * 5 + a * 5) = 3a + -7 (15 + 5a) = 3a + -7 Reorder the terms: 15 + 5a = -7 + 3a Solving 15 + 5a = -7 + 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. 15 + 5a + -3a = -7 + 3a + -3a Combine like terms: 5a + -3a = 2a 15 + 2a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 2a = -7 + 0 15 + 2a = -7 Add '-15' to each side of the equation. 15 + -15 + 2a = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = -7 + -15 2a = -7 + -15 Combine like terms: -7 + -15 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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