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Simplifying 7(m + -5) + -6(m + 2) = -47 Reorder the terms: 7(-5 + m) + -6(m + 2) = -47 (-5 * 7 + m * 7) + -6(m + 2) = -47 (-35 + 7m) + -6(m + 2) = -47 Reorder the terms: -35 + 7m + -6(2 + m) = -47 -35 + 7m + (2 * -6 + m * -6) = -47 -35 + 7m + (-12 + -6m) = -47 Reorder the terms: -35 + -12 + 7m + -6m = -47 Combine like terms: -35 + -12 = -47 -47 + 7m + -6m = -47 Combine like terms: 7m + -6m = 1m -47 + 1m = -47 Add '47' to each side of the equation. -47 + 47 + 1m = -47 + 47 Combine like terms: -47 + 47 = 0 0 + 1m = -47 + 47 1m = -47 + 47 Combine like terms: -47 + 47 = 0 1m = 0 Solving 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '1'. m = 0 Simplifying m = 0
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