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Simplifying 1 + -7(-2m + -3) = 8m + 1 Reorder the terms: 1 + -7(-3 + -2m) = 8m + 1 1 + (-3 * -7 + -2m * -7) = 8m + 1 1 + (21 + 14m) = 8m + 1 Combine like terms: 1 + 21 = 22 22 + 14m = 8m + 1 Reorder the terms: 22 + 14m = 1 + 8m Solving 22 + 14m = 1 + 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. 22 + 14m + -8m = 1 + 8m + -8m Combine like terms: 14m + -8m = 6m 22 + 6m = 1 + 8m + -8m Combine like terms: 8m + -8m = 0 22 + 6m = 1 + 0 22 + 6m = 1 Add '-22' to each side of the equation. 22 + -22 + 6m = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 6m = 1 + -22 6m = 1 + -22 Combine like terms: 1 + -22 = -21 6m = -21 Divide each side by '6'. m = -3.5 Simplifying m = -3.5
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