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Simplifying -33 + -8m = 6m + -5(7m + -6) Reorder the terms: -33 + -8m = 6m + -5(-6 + 7m) -33 + -8m = 6m + (-6 * -5 + 7m * -5) -33 + -8m = 6m + (30 + -35m) Reorder the terms: -33 + -8m = 30 + 6m + -35m Combine like terms: 6m + -35m = -29m -33 + -8m = 30 + -29m Solving -33 + -8m = 30 + -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. -33 + -8m + 29m = 30 + -29m + 29m Combine like terms: -8m + 29m = 21m -33 + 21m = 30 + -29m + 29m Combine like terms: -29m + 29m = 0 -33 + 21m = 30 + 0 -33 + 21m = 30 Add '33' to each side of the equation. -33 + 33 + 21m = 30 + 33 Combine like terms: -33 + 33 = 0 0 + 21m = 30 + 33 21m = 30 + 33 Combine like terms: 30 + 33 = 63 21m = 63 Divide each side by '21'. m = 3 Simplifying m = 3
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