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Simplifying -147 = -7(6a + 3) Reorder the terms: -147 = -7(3 + 6a) -147 = (3 * -7 + 6a * -7) -147 = (-21 + -42a) Solving -147 = -21 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -147 + 42a = -21 + -42a + 42a Combine like terms: -42a + 42a = 0 -147 + 42a = -21 + 0 -147 + 42a = -21 Add '147' to each side of the equation. -147 + 147 + 42a = -21 + 147 Combine like terms: -147 + 147 = 0 0 + 42a = -21 + 147 42a = -21 + 147 Combine like terms: -21 + 147 = 126 42a = 126 Divide each side by '42'. a = 3 Simplifying a = 3
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