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Simplifying -15 + 8m = 5 + 7(2 + 6m) -15 + 8m = 5 + (2 * 7 + 6m * 7) -15 + 8m = 5 + (14 + 42m) Combine like terms: 5 + 14 = 19 -15 + 8m = 19 + 42m Solving -15 + 8m = 19 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. -15 + 8m + -42m = 19 + 42m + -42m Combine like terms: 8m + -42m = -34m -15 + -34m = 19 + 42m + -42m Combine like terms: 42m + -42m = 0 -15 + -34m = 19 + 0 -15 + -34m = 19 Add '15' to each side of the equation. -15 + 15 + -34m = 19 + 15 Combine like terms: -15 + 15 = 0 0 + -34m = 19 + 15 -34m = 19 + 15 Combine like terms: 19 + 15 = 34 -34m = 34 Divide each side by '-34'. m = -1 Simplifying m = -1
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