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Simplifying 7m + -29 = 6(4m + -2) Reorder the terms: -29 + 7m = 6(4m + -2) Reorder the terms: -29 + 7m = 6(-2 + 4m) -29 + 7m = (-2 * 6 + 4m * 6) -29 + 7m = (-12 + 24m) Solving -29 + 7m = -12 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -29 + 7m + -24m = -12 + 24m + -24m Combine like terms: 7m + -24m = -17m -29 + -17m = -12 + 24m + -24m Combine like terms: 24m + -24m = 0 -29 + -17m = -12 + 0 -29 + -17m = -12 Add '29' to each side of the equation. -29 + 29 + -17m = -12 + 29 Combine like terms: -29 + 29 = 0 0 + -17m = -12 + 29 -17m = -12 + 29 Combine like terms: -12 + 29 = 17 -17m = 17 Divide each side by '-17'. m = -1 Simplifying m = -1
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