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Simplifying 5(a + 3) = -2(6a + 1) Reorder the terms: 5(3 + a) = -2(6a + 1) (3 * 5 + a * 5) = -2(6a + 1) (15 + 5a) = -2(6a + 1) Reorder the terms: 15 + 5a = -2(1 + 6a) 15 + 5a = (1 * -2 + 6a * -2) 15 + 5a = (-2 + -12a) Solving 15 + 5a = -2 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 15 + 5a + 12a = -2 + -12a + 12a Combine like terms: 5a + 12a = 17a 15 + 17a = -2 + -12a + 12a Combine like terms: -12a + 12a = 0 15 + 17a = -2 + 0 15 + 17a = -2 Add '-15' to each side of the equation. 15 + -15 + 17a = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 17a = -2 + -15 17a = -2 + -15 Combine like terms: -2 + -15 = -17 17a = -17 Divide each side by '17'. a = -1 Simplifying a = -1
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