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Simplifying 8m + -1(2m + 7) = 2m + 1 Reorder the terms: 8m + -1(7 + 2m) = 2m + 1 8m + (7 * -1 + 2m * -1) = 2m + 1 8m + (-7 + -2m) = 2m + 1 Reorder the terms: -7 + 8m + -2m = 2m + 1 Combine like terms: 8m + -2m = 6m -7 + 6m = 2m + 1 Reorder the terms: -7 + 6m = 1 + 2m Solving -7 + 6m = 1 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -7 + 6m + -2m = 1 + 2m + -2m Combine like terms: 6m + -2m = 4m -7 + 4m = 1 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 4m = 1 + 0 -7 + 4m = 1 Add '7' to each side of the equation. -7 + 7 + 4m = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4m = 1 + 7 4m = 1 + 7 Combine like terms: 1 + 7 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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