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Simplifying 8(2m + 7n + -5) + 90 = 0 Reorder the terms: 8(-5 + 2m + 7n) + 90 = 0 (-5 * 8 + 2m * 8 + 7n * 8) + 90 = 0 (-40 + 16m + 56n) + 90 = 0 Reorder the terms: -40 + 90 + 16m + 56n = 0 Combine like terms: -40 + 90 = 50 50 + 16m + 56n = 0 Solving 50 + 16m + 56n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 16m + -50 + 56n = 0 + -50 Reorder the terms: 50 + -50 + 16m + 56n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 16m + 56n = 0 + -50 16m + 56n = 0 + -50 Combine like terms: 0 + -50 = -50 16m + 56n = -50 Add '-56n' to each side of the equation. 16m + 56n + -56n = -50 + -56n Combine like terms: 56n + -56n = 0 16m + 0 = -50 + -56n 16m = -50 + -56n Divide each side by '16'. m = -3.125 + -3.5n Simplifying m = -3.125 + -3.5n
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