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Simplifying 3(8m + -13) + 10 = 17(3 + 2m) Reorder the terms: 3(-13 + 8m) + 10 = 17(3 + 2m) (-13 * 3 + 8m * 3) + 10 = 17(3 + 2m) (-39 + 24m) + 10 = 17(3 + 2m) Reorder the terms: -39 + 10 + 24m = 17(3 + 2m) Combine like terms: -39 + 10 = -29 -29 + 24m = 17(3 + 2m) -29 + 24m = (3 * 17 + 2m * 17) -29 + 24m = (51 + 34m) Solving -29 + 24m = 51 + 34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-34m' to each side of the equation. -29 + 24m + -34m = 51 + 34m + -34m Combine like terms: 24m + -34m = -10m -29 + -10m = 51 + 34m + -34m Combine like terms: 34m + -34m = 0 -29 + -10m = 51 + 0 -29 + -10m = 51 Add '29' to each side of the equation. -29 + 29 + -10m = 51 + 29 Combine like terms: -29 + 29 = 0 0 + -10m = 51 + 29 -10m = 51 + 29 Combine like terms: 51 + 29 = 80 -10m = 80 Divide each side by '-10'. m = -8 Simplifying m = -8
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