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