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Simplifying -5(1 + 6m) + -6(8m + 8) = -53 (1 * -5 + 6m * -5) + -6(8m + 8) = -53 (-5 + -30m) + -6(8m + 8) = -53 Reorder the terms: -5 + -30m + -6(8 + 8m) = -53 -5 + -30m + (8 * -6 + 8m * -6) = -53 -5 + -30m + (-48 + -48m) = -53 Reorder the terms: -5 + -48 + -30m + -48m = -53 Combine like terms: -5 + -48 = -53 -53 + -30m + -48m = -53 Combine like terms: -30m + -48m = -78m -53 + -78m = -53 Add '53' to each side of the equation. -53 + 53 + -78m = -53 + 53 Combine like terms: -53 + 53 = 0 0 + -78m = -53 + 53 -78m = -53 + 53 Combine like terms: -53 + 53 = 0 -78m = 0 Solving -78m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '-78'. m = 0 Simplifying m = 0
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