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Simplifying 7(-5 + -6m) = -8m + 33 (-5 * 7 + -6m * 7) = -8m + 33 (-35 + -42m) = -8m + 33 Reorder the terms: -35 + -42m = 33 + -8m Solving -35 + -42m = 33 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -35 + -42m + 8m = 33 + -8m + 8m Combine like terms: -42m + 8m = -34m -35 + -34m = 33 + -8m + 8m Combine like terms: -8m + 8m = 0 -35 + -34m = 33 + 0 -35 + -34m = 33 Add '35' to each side of the equation. -35 + 35 + -34m = 33 + 35 Combine like terms: -35 + 35 = 0 0 + -34m = 33 + 35 -34m = 33 + 35 Combine like terms: 33 + 35 = 68 -34m = 68 Divide each side by '-34'. m = -2 Simplifying m = -2
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