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Simplifying 11 + 5m = 8(7m + -5) Reorder the terms: 11 + 5m = 8(-5 + 7m) 11 + 5m = (-5 * 8 + 7m * 8) 11 + 5m = (-40 + 56m) Solving 11 + 5m = -40 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. 11 + 5m + -56m = -40 + 56m + -56m Combine like terms: 5m + -56m = -51m 11 + -51m = -40 + 56m + -56m Combine like terms: 56m + -56m = 0 11 + -51m = -40 + 0 11 + -51m = -40 Add '-11' to each side of the equation. 11 + -11 + -51m = -40 + -11 Combine like terms: 11 + -11 = 0 0 + -51m = -40 + -11 -51m = -40 + -11 Combine like terms: -40 + -11 = -51 -51m = -51 Divide each side by '-51'. m = 1 Simplifying m = 1
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