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Simplifying 8(m + 7) = 1 + -3m Reorder the terms: 8(7 + m) = 1 + -3m (7 * 8 + m * 8) = 1 + -3m (56 + 8m) = 1 + -3m Solving 56 + 8m = 1 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 56 + 8m + 3m = 1 + -3m + 3m Combine like terms: 8m + 3m = 11m 56 + 11m = 1 + -3m + 3m Combine like terms: -3m + 3m = 0 56 + 11m = 1 + 0 56 + 11m = 1 Add '-56' to each side of the equation. 56 + -56 + 11m = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 11m = 1 + -56 11m = 1 + -56 Combine like terms: 1 + -56 = -55 11m = -55 Divide each side by '11'. m = -5 Simplifying m = -5
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