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Simplifying (15x + -3y) + -1(5w + 8z) = 20 Remove parenthesis around (15x + -3y) 15x + -3y + -1(5w + 8z) = 20 15x + -3y + (5w * -1 + 8z * -1) = 20 15x + -3y + (-5w + -8z) = 20 Reorder the terms: -5w + 15x + -3y + -8z = 20 Solving -5w + 15x + -3y + -8z = 20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. -5w + 15x + -3y + -15x + -8z = 20 + -15x Reorder the terms: -5w + 15x + -15x + -3y + -8z = 20 + -15x Combine like terms: 15x + -15x = 0 -5w + 0 + -3y + -8z = 20 + -15x -5w + -3y + -8z = 20 + -15x Add '3y' to each side of the equation. -5w + -3y + 3y + -8z = 20 + -15x + 3y Combine like terms: -3y + 3y = 0 -5w + 0 + -8z = 20 + -15x + 3y -5w + -8z = 20 + -15x + 3y Add '8z' to each side of the equation. -5w + -8z + 8z = 20 + -15x + 3y + 8z Combine like terms: -8z + 8z = 0 -5w + 0 = 20 + -15x + 3y + 8z -5w = 20 + -15x + 3y + 8z Divide each side by '-5'. w = -4 + 3x + -0.6y + -1.6z Simplifying w = -4 + 3x + -0.6y + -1.6z
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