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Simplifying -147 = 5 + 8(7m + 2) Reorder the terms: -147 = 5 + 8(2 + 7m) -147 = 5 + (2 * 8 + 7m * 8) -147 = 5 + (16 + 56m) Combine like terms: 5 + 16 = 21 -147 = 21 + 56m Solving -147 = 21 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. -147 + -56m = 21 + 56m + -56m Combine like terms: 56m + -56m = 0 -147 + -56m = 21 + 0 -147 + -56m = 21 Add '147' to each side of the equation. -147 + 147 + -56m = 21 + 147 Combine like terms: -147 + 147 = 0 0 + -56m = 21 + 147 -56m = 21 + 147 Combine like terms: 21 + 147 = 168 -56m = 168 Divide each side by '-56'. m = -3 Simplifying m = -3
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