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Simplifying 8(m + -5) + 3 = 6m + 14 + -6m + 13 Reorder the terms: 8(-5 + m) + 3 = 6m + 14 + -6m + 13 (-5 * 8 + m * 8) + 3 = 6m + 14 + -6m + 13 (-40 + 8m) + 3 = 6m + 14 + -6m + 13 Reorder the terms: -40 + 3 + 8m = 6m + 14 + -6m + 13 Combine like terms: -40 + 3 = -37 -37 + 8m = 6m + 14 + -6m + 13 Reorder the terms: -37 + 8m = 14 + 13 + 6m + -6m Combine like terms: 14 + 13 = 27 -37 + 8m = 27 + 6m + -6m Combine like terms: 6m + -6m = 0 -37 + 8m = 27 + 0 -37 + 8m = 27 Solving -37 + 8m = 27 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 8m = 27 + 37 Combine like terms: -37 + 37 = 0 0 + 8m = 27 + 37 8m = 27 + 37 Combine like terms: 27 + 37 = 64 8m = 64 Divide each side by '8'. m = 8 Simplifying m = 8
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