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Simplifying -82 = 8 + 6(m + -7) Reorder the terms: -82 = 8 + 6(-7 + m) -82 = 8 + (-7 * 6 + m * 6) -82 = 8 + (-42 + 6m) Combine like terms: 8 + -42 = -34 -82 = -34 + 6m Solving -82 = -34 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -82 + -6m = -34 + 6m + -6m Combine like terms: 6m + -6m = 0 -82 + -6m = -34 + 0 -82 + -6m = -34 Add '82' to each side of the equation. -82 + 82 + -6m = -34 + 82 Combine like terms: -82 + 82 = 0 0 + -6m = -34 + 82 -6m = -34 + 82 Combine like terms: -34 + 82 = 48 -6m = 48 Divide each side by '-6'. m = -8 Simplifying m = -8
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