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Simplifying -34 + 8m = 7(m + -6) Reorder the terms: -34 + 8m = 7(-6 + m) -34 + 8m = (-6 * 7 + m * 7) -34 + 8m = (-42 + 7m) Solving -34 + 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. -34 + 8m + -7m = -42 + 7m + -7m Combine like terms: 8m + -7m = 1m -34 + 1m = -42 + 7m + -7m Combine like terms: 7m + -7m = 0 -34 + 1m = -42 + 0 -34 + 1m = -42 Add '34' to each side of the equation. -34 + 34 + 1m = -42 + 34 Combine like terms: -34 + 34 = 0 0 + 1m = -42 + 34 1m = -42 + 34 Combine like terms: -42 + 34 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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