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Simplifying 81 = 8(m + 8) + 1 Reorder the terms: 81 = 8(8 + m) + 1 81 = (8 * 8 + m * 8) + 1 81 = (64 + 8m) + 1 Reorder the terms: 81 = 64 + 1 + 8m Combine like terms: 64 + 1 = 65 81 = 65 + 8m Solving 81 = 65 + 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. 81 + -8m = 65 + 8m + -8m Combine like terms: 8m + -8m = 0 81 + -8m = 65 + 0 81 + -8m = 65 Add '-81' to each side of the equation. 81 + -81 + -8m = 65 + -81 Combine like terms: 81 + -81 = 0 0 + -8m = 65 + -81 -8m = 65 + -81 Combine like terms: 65 + -81 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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