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Simplifying (3w + 3x + 2y + 40z) + 15 = 160 Remove parenthesis around (3w + 3x + 2y + 40z) 3w + 3x + 2y + 40z + 15 = 160 Reorder the terms: 15 + 3w + 3x + 2y + 40z = 160 Solving 15 + 3w + 3x + 2y + 40z = 160 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3w + 3x + 2y + -15 + 40z = 160 + -15 Reorder the terms: 15 + -15 + 3w + 3x + 2y + 40z = 160 + -15 Combine like terms: 15 + -15 = 0 0 + 3w + 3x + 2y + 40z = 160 + -15 3w + 3x + 2y + 40z = 160 + -15 Combine like terms: 160 + -15 = 145 3w + 3x + 2y + 40z = 145 Add '-3x' to each side of the equation. 3w + 3x + 2y + -3x + 40z = 145 + -3x Reorder the terms: 3w + 3x + -3x + 2y + 40z = 145 + -3x Combine like terms: 3x + -3x = 0 3w + 0 + 2y + 40z = 145 + -3x 3w + 2y + 40z = 145 + -3x Add '-2y' to each side of the equation. 3w + 2y + -2y + 40z = 145 + -3x + -2y Combine like terms: 2y + -2y = 0 3w + 0 + 40z = 145 + -3x + -2y 3w + 40z = 145 + -3x + -2y Add '-40z' to each side of the equation. 3w + 40z + -40z = 145 + -3x + -2y + -40z Combine like terms: 40z + -40z = 0 3w + 0 = 145 + -3x + -2y + -40z 3w = 145 + -3x + -2y + -40z Divide each side by '3'. w = 48.33333333 + -1x + -0.6666666667y + -13.33333333z Simplifying w = 48.33333333 + -1x + -0.6666666667y + -13.33333333z
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