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Simplifying -1(5 + 2m) + -2(m + 8) = -45 (5 * -1 + 2m * -1) + -2(m + 8) = -45 (-5 + -2m) + -2(m + 8) = -45 Reorder the terms: -5 + -2m + -2(8 + m) = -45 -5 + -2m + (8 * -2 + m * -2) = -45 -5 + -2m + (-16 + -2m) = -45 Reorder the terms: -5 + -16 + -2m + -2m = -45 Combine like terms: -5 + -16 = -21 -21 + -2m + -2m = -45 Combine like terms: -2m + -2m = -4m -21 + -4m = -45 Solving -21 + -4m = -45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4m = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -4m = -45 + 21 -4m = -45 + 21 Combine like terms: -45 + 21 = -24 -4m = -24 Divide each side by '-4'. m = 6 Simplifying m = 6
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