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Simplifying 8(m + -5) + -7(m + -6) = 10 + -7m + 6m + 4 Reorder the terms: 8(-5 + m) + -7(m + -6) = 10 + -7m + 6m + 4 (-5 * 8 + m * 8) + -7(m + -6) = 10 + -7m + 6m + 4 (-40 + 8m) + -7(m + -6) = 10 + -7m + 6m + 4 Reorder the terms: -40 + 8m + -7(-6 + m) = 10 + -7m + 6m + 4 -40 + 8m + (-6 * -7 + m * -7) = 10 + -7m + 6m + 4 -40 + 8m + (42 + -7m) = 10 + -7m + 6m + 4 Reorder the terms: -40 + 42 + 8m + -7m = 10 + -7m + 6m + 4 Combine like terms: -40 + 42 = 2 2 + 8m + -7m = 10 + -7m + 6m + 4 Combine like terms: 8m + -7m = 1m 2 + 1m = 10 + -7m + 6m + 4 Reorder the terms: 2 + 1m = 10 + 4 + -7m + 6m Combine like terms: 10 + 4 = 14 2 + 1m = 14 + -7m + 6m Combine like terms: -7m + 6m = -1m 2 + 1m = 14 + -1m Solving 2 + 1m = 14 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 2 + 1m + m = 14 + -1m + m Combine like terms: 1m + m = 2m 2 + 2m = 14 + -1m + m Combine like terms: -1m + m = 0 2 + 2m = 14 + 0 2 + 2m = 14 Add '-2' to each side of the equation. 2 + -2 + 2m = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = 14 + -2 2m = 14 + -2 Combine like terms: 14 + -2 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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