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Simplifying -7(m + 6) + 7 = -8m + -33 Reorder the terms: -7(6 + m) + 7 = -8m + -33 (6 * -7 + m * -7) + 7 = -8m + -33 (-42 + -7m) + 7 = -8m + -33 Reorder the terms: -42 + 7 + -7m = -8m + -33 Combine like terms: -42 + 7 = -35 -35 + -7m = -8m + -33 Reorder the terms: -35 + -7m = -33 + -8m Solving -35 + -7m = -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 + -7m + 8m = -33 + -8m + 8m Combine like terms: -7m + 8m = 1m -35 + 1m = -33 + -8m + 8m Combine like terms: -8m + 8m = 0 -35 + 1m = -33 + 0 -35 + 1m = -33 Add '35' to each side of the equation. -35 + 35 + 1m = -33 + 35 Combine like terms: -35 + 35 = 0 0 + 1m = -33 + 35 1m = -33 + 35 Combine like terms: -33 + 35 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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