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Simplifying 8(m + -5) + -7(m + 1) = -47 Reorder the terms: 8(-5 + m) + -7(m + 1) = -47 (-5 * 8 + m * 8) + -7(m + 1) = -47 (-40 + 8m) + -7(m + 1) = -47 Reorder the terms: -40 + 8m + -7(1 + m) = -47 -40 + 8m + (1 * -7 + m * -7) = -47 -40 + 8m + (-7 + -7m) = -47 Reorder the terms: -40 + -7 + 8m + -7m = -47 Combine like terms: -40 + -7 = -47 -47 + 8m + -7m = -47 Combine like terms: 8m + -7m = 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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