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Simplifying 8m + -3(2m + -1) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4 Reorder the terms: 8m + -3(-1 + 2m) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4 8m + (-1 * -3 + 2m * -3) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4 8m + (3 + -6m) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4 8m + 3 + -6m + (3 * 4 + -7m * 4) + 1 = 3 + -4(2m + 2) + 4 8m + 3 + -6m + (12 + -28m) + 1 = 3 + -4(2m + 2) + 4 Reorder the terms: 3 + 12 + 1 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4 Combine like terms: 3 + 12 = 15 15 + 1 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4 Combine like terms: 15 + 1 = 16 16 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4 Combine like terms: 8m + -6m = 2m 16 + 2m + -28m = 3 + -4(2m + 2) + 4 Combine like terms: 2m + -28m = -26m 16 + -26m = 3 + -4(2m + 2) + 4 Reorder the terms: 16 + -26m = 3 + -4(2 + 2m) + 4 16 + -26m = 3 + (2 * -4 + 2m * -4) + 4 16 + -26m = 3 + (-8 + -8m) + 4 Reorder the terms: 16 + -26m = 3 + -8 + 4 + -8m Combine like terms: 3 + -8 = -5 16 + -26m = -5 + 4 + -8m Combine like terms: -5 + 4 = -1 16 + -26m = -1 + -8m Solving 16 + -26m = -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. 16 + -26m + 8m = -1 + -8m + 8m Combine like terms: -26m + 8m = -18m 16 + -18m = -1 + -8m + 8m Combine like terms: -8m + 8m = 0 16 + -18m = -1 + 0 16 + -18m = -1 Add '-16' to each side of the equation. 16 + -16 + -18m = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -18m = -1 + -16 -18m = -1 + -16 Combine like terms: -1 + -16 = -17 -18m = -17 Divide each side by '-18'. m = 0.9444444444 Simplifying m = 0.9444444444
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