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Simplifying 7(6 + -2) = 5(-3a + 1) Combine like terms: 6 + -2 = 4 7(4) = 5(-3a + 1) Multiply 7 * 4 28 = 5(-3a + 1) Reorder the terms: 28 = 5(1 + -3a) 28 = (1 * 5 + -3a * 5) 28 = (5 + -15a) Solving 28 = 5 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 28 + 15a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 28 + 15a = 5 + 0 28 + 15a = 5 Add '-28' to each side of the equation. 28 + -28 + 15a = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 15a = 5 + -28 15a = 5 + -28 Combine like terms: 5 + -28 = -23 15a = -23 Divide each side by '15'. a = -1.533333333 Simplifying a = -1.533333333
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