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Simplifying 8(2m + -5) + -6(3m + -7) = 1 Reorder the terms: 8(-5 + 2m) + -6(3m + -7) = 1 (-5 * 8 + 2m * 8) + -6(3m + -7) = 1 (-40 + 16m) + -6(3m + -7) = 1 Reorder the terms: -40 + 16m + -6(-7 + 3m) = 1 -40 + 16m + (-7 * -6 + 3m * -6) = 1 -40 + 16m + (42 + -18m) = 1 Reorder the terms: -40 + 42 + 16m + -18m = 1 Combine like terms: -40 + 42 = 2 2 + 16m + -18m = 1 Combine like terms: 16m + -18m = -2m 2 + -2m = 1 Solving 2 + -2m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2m = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = 1 + -2 -2m = 1 + -2 Combine like terms: 1 + -2 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5
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