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Simplifying 4m + 16 = 5(m + -8) + 7m Reorder the terms: 16 + 4m = 5(m + -8) + 7m Reorder the terms: 16 + 4m = 5(-8 + m) + 7m 16 + 4m = (-8 * 5 + m * 5) + 7m 16 + 4m = (-40 + 5m) + 7m Combine like terms: 5m + 7m = 12m 16 + 4m = -40 + 12m Solving 16 + 4m = -40 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 16 + 4m + -12m = -40 + 12m + -12m Combine like terms: 4m + -12m = -8m 16 + -8m = -40 + 12m + -12m Combine like terms: 12m + -12m = 0 16 + -8m = -40 + 0 16 + -8m = -40 Add '-16' to each side of the equation. 16 + -16 + -8m = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -8m = -40 + -16 -8m = -40 + -16 Combine like terms: -40 + -16 = -56 -8m = -56 Divide each side by '-8'. m = 7 Simplifying m = 7
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