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Simplifying 71 = 7(m + 1) + m Reorder the terms: 71 = 7(1 + m) + m 71 = (1 * 7 + m * 7) + m 71 = (7 + 7m) + m Combine like terms: 7m + m = 8m 71 = 7 + 8m Solving 71 = 7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 71 + -8m = 7 + 8m + -8m Combine like terms: 8m + -8m = 0 71 + -8m = 7 + 0 71 + -8m = 7 Add '-71' to each side of the equation. 71 + -71 + -8m = 7 + -71 Combine like terms: 71 + -71 = 0 0 + -8m = 7 + -71 -8m = 7 + -71 Combine like terms: 7 + -71 = -64 -8m = -64 Divide each side by '-8'. m = 8 Simplifying m = 8
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