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Simplifying 147 = 7(-3a + 5) + -7a Reorder the terms: 147 = 7(5 + -3a) + -7a 147 = (5 * 7 + -3a * 7) + -7a 147 = (35 + -21a) + -7a Combine like terms: -21a + -7a = -28a 147 = 35 + -28a Solving 147 = 35 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 147 + 28a = 35 + -28a + 28a Combine like terms: -28a + 28a = 0 147 + 28a = 35 + 0 147 + 28a = 35 Add '-147' to each side of the equation. 147 + -147 + 28a = 35 + -147 Combine like terms: 147 + -147 = 0 0 + 28a = 35 + -147 28a = 35 + -147 Combine like terms: 35 + -147 = -112 28a = -112 Divide each side by '28'. a = -4 Simplifying a = -4
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