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Simplifying -6(5 + m) + -5 = -83 (5 * -6 + m * -6) + -5 = -83 (-30 + -6m) + -5 = -83 Reorder the terms: -30 + -5 + -6m = -83 Combine like terms: -30 + -5 = -35 -35 + -6m = -83 Solving -35 + -6m = -83 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6m = -83 + 35 Combine like terms: -35 + 35 = 0 0 + -6m = -83 + 35 -6m = -83 + 35 Combine like terms: -83 + 35 = -48 -6m = -48 Divide each side by '-6'. m = 8 Simplifying m = 8
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