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Simplifying 6m + -10 = 8(m + -5) + 3m Reorder the terms: -10 + 6m = 8(m + -5) + 3m Reorder the terms: -10 + 6m = 8(-5 + m) + 3m -10 + 6m = (-5 * 8 + m * 8) + 3m -10 + 6m = (-40 + 8m) + 3m Combine like terms: 8m + 3m = 11m -10 + 6m = -40 + 11m Solving -10 + 6m = -40 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -10 + 6m + -11m = -40 + 11m + -11m Combine like terms: 6m + -11m = -5m -10 + -5m = -40 + 11m + -11m Combine like terms: 11m + -11m = 0 -10 + -5m = -40 + 0 -10 + -5m = -40 Add '10' to each side of the equation. -10 + 10 + -5m = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = -40 + 10 -5m = -40 + 10 Combine like terms: -40 + 10 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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