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Simplifying -37 = -3(1 + 6m) + -2(m + 7) -37 = (1 * -3 + 6m * -3) + -2(m + 7) -37 = (-3 + -18m) + -2(m + 7) Reorder the terms: -37 = -3 + -18m + -2(7 + m) -37 = -3 + -18m + (7 * -2 + m * -2) -37 = -3 + -18m + (-14 + -2m) Reorder the terms: -37 = -3 + -14 + -18m + -2m Combine like terms: -3 + -14 = -17 -37 = -17 + -18m + -2m Combine like terms: -18m + -2m = -20m -37 = -17 + -20m Solving -37 = -17 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. -37 + 20m = -17 + -20m + 20m Combine like terms: -20m + 20m = 0 -37 + 20m = -17 + 0 -37 + 20m = -17 Add '37' to each side of the equation. -37 + 37 + 20m = -17 + 37 Combine like terms: -37 + 37 = 0 0 + 20m = -17 + 37 20m = -17 + 37 Combine like terms: -17 + 37 = 20 20m = 20 Divide each side by '20'. m = 1 Simplifying m = 1
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