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Simplifying 5(a + 3) = 7 + -3a Reorder the terms: 5(3 + a) = 7 + -3a (3 * 5 + a * 5) = 7 + -3a (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 = 8a 15 + 8a = 7 + -3a + 3a Combine like terms: -3a + 3a = 0 15 + 8a = 7 + 0 15 + 8a = 7 Add '-15' to each side of the equation. 15 + -15 + 8a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8a = 7 + -15 8a = 7 + -15 Combine like terms: 7 + -15 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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