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Simplifying -147 = -7 + -5(3a + 7) Reorder the terms: -147 = -7 + -5(7 + 3a) -147 = -7 + (7 * -5 + 3a * -5) -147 = -7 + (-35 + -15a) Combine like terms: -7 + -35 = -42 -147 = -42 + -15a Solving -147 = -42 + -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. -147 + 15a = -42 + -15a + 15a Combine like terms: -15a + 15a = 0 -147 + 15a = -42 + 0 -147 + 15a = -42 Add '147' to each side of the equation. -147 + 147 + 15a = -42 + 147 Combine like terms: -147 + 147 = 0 0 + 15a = -42 + 147 15a = -42 + 147 Combine like terms: -42 + 147 = 105 15a = 105 Divide each side by '15'. a = 7 Simplifying a = 7
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