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Simplifying 8((5(m + -4) + 16) + -1(2(5m + -3) + 4)) = 1 Reorder the terms: 8((5(-4 + m) + 16) + -1(2(5m + -3) + 4)) = 1 8(((-4 * 5 + m * 5) + 16) + -1(2(5m + -3) + 4)) = 1 8(((-20 + 5m) + 16) + -1(2(5m + -3) + 4)) = 1 Reorder the terms: 8((-20 + 16 + 5m) + -1(2(5m + -3) + 4)) = 1 Combine like terms: -20 + 16 = -4 8((-4 + 5m) + -1(2(5m + -3) + 4)) = 1 Remove parenthesis around (-4 + 5m) 8(-4 + 5m + -1(2(5m + -3) + 4)) = 1 Reorder the terms: 8(-4 + 5m + -1(2(-3 + 5m) + 4)) = 1 8(-4 + 5m + -1((-3 * 2 + 5m * 2) + 4)) = 1 8(-4 + 5m + -1((-6 + 10m) + 4)) = 1 Reorder the terms: 8(-4 + 5m + -1(-6 + 4 + 10m)) = 1 Combine like terms: -6 + 4 = -2 8(-4 + 5m + -1(-2 + 10m)) = 1 8(-4 + 5m + (-2 * -1 + 10m * -1)) = 1 8(-4 + 5m + (2 + -10m)) = 1 Reorder the terms: 8(-4 + 2 + 5m + -10m) = 1 Combine like terms: -4 + 2 = -2 8(-2 + 5m + -10m) = 1 Combine like terms: 5m + -10m = -5m 8(-2 + -5m) = 1 (-2 * 8 + -5m * 8) = 1 (-16 + -40m) = 1 Solving -16 + -40m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -40m = 1 + 16 Combine like terms: -16 + 16 = 0 0 + -40m = 1 + 16 -40m = 1 + 16 Combine like terms: 1 + 16 = 17 -40m = 17 Divide each side by '-40'. m = -0.425 Simplifying m = -0.425
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