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Simplifying 6m + -4(-7m + 1) = 37 + -7m Reorder the terms: 6m + -4(1 + -7m) = 37 + -7m 6m + (1 * -4 + -7m * -4) = 37 + -7m 6m + (-4 + 28m) = 37 + -7m Reorder the terms: -4 + 6m + 28m = 37 + -7m Combine like terms: 6m + 28m = 34m -4 + 34m = 37 + -7m Solving -4 + 34m = 37 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -4 + 34m + 7m = 37 + -7m + 7m Combine like terms: 34m + 7m = 41m -4 + 41m = 37 + -7m + 7m Combine like terms: -7m + 7m = 0 -4 + 41m = 37 + 0 -4 + 41m = 37 Add '4' to each side of the equation. -4 + 4 + 41m = 37 + 4 Combine like terms: -4 + 4 = 0 0 + 41m = 37 + 4 41m = 37 + 4 Combine like terms: 37 + 4 = 41 41m = 41 Divide each side by '41'. m = 1 Simplifying m = 1
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