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Simplifying 17 + -6m = 5(m + -8) + 2 Reorder the terms: 17 + -6m = 5(-8 + m) + 2 17 + -6m = (-8 * 5 + m * 5) + 2 17 + -6m = (-40 + 5m) + 2 Reorder the terms: 17 + -6m = -40 + 2 + 5m Combine like terms: -40 + 2 = -38 17 + -6m = -38 + 5m Solving 17 + -6m = -38 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 17 + -6m + -5m = -38 + 5m + -5m Combine like terms: -6m + -5m = -11m 17 + -11m = -38 + 5m + -5m Combine like terms: 5m + -5m = 0 17 + -11m = -38 + 0 17 + -11m = -38 Add '-17' to each side of the equation. 17 + -17 + -11m = -38 + -17 Combine like terms: 17 + -17 = 0 0 + -11m = -38 + -17 -11m = -38 + -17 Combine like terms: -38 + -17 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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