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Simplifying (y + -2x + 8) + -1(z + -3y + 5) + (z + -4x + -5m) = 0 Reorder the terms: (8 + -2x + y) + -1(z + -3y + 5) + (z + -4x + -5m) = 0 Remove parenthesis around (8 + -2x + y) 8 + -2x + y + -1(z + -3y + 5) + (z + -4x + -5m) = 0 Reorder the terms: 8 + -2x + y + -1(5 + -3y + z) + (z + -4x + -5m) = 0 8 + -2x + y + (5 * -1 + -3y * -1 + z * -1) + (z + -4x + -5m) = 0 8 + -2x + y + (-5 + 3y + -1z) + (z + -4x + -5m) = 0 Reorder the terms: 8 + -2x + y + -5 + 3y + -1z + (-5m + -4x + z) = 0 Remove parenthesis around (-5m + -4x + z) 8 + -2x + y + -5 + 3y + -1z + -5m + -4x + z = 0 Reorder the terms: 8 + -5 + -5m + -2x + -4x + y + 3y + -1z + z = 0 Combine like terms: 8 + -5 = 3 3 + -5m + -2x + -4x + y + 3y + -1z + z = 0 Combine like terms: -2x + -4x = -6x 3 + -5m + -6x + y + 3y + -1z + z = 0 Combine like terms: y + 3y = 4y 3 + -5m + -6x + 4y + -1z + z = 0 Combine like terms: -1z + z = 0 3 + -5m + -6x + 4y + 0 = 0 3 + -5m + -6x + 4y = 0 Solving 3 + -5m + -6x + 4y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -5m + -6x + -3 + 4y = 0 + -3 Reorder the terms: 3 + -3 + -5m + -6x + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m + -6x + 4y = 0 + -3 -5m + -6x + 4y = 0 + -3 Combine like terms: 0 + -3 = -3 -5m + -6x + 4y = -3 Add '6x' to each side of the equation. -5m + -6x + 6x + 4y = -3 + 6x Combine like terms: -6x + 6x = 0 -5m + 0 + 4y = -3 + 6x -5m + 4y = -3 + 6x Add '-4y' to each side of the equation. -5m + 4y + -4y = -3 + 6x + -4y Combine like terms: 4y + -4y = 0 -5m + 0 = -3 + 6x + -4y -5m = -3 + 6x + -4y Divide each side by '-5'. m = 0.6 + -1.2x + 0.8y Simplifying m = 0.6 + -1.2x + 0.8y
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