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Simplifying (36 + -5w + -3x + -25y) + -1(367w + -4x + 24) = 0 Remove parenthesis around (36 + -5w + -3x + -25y) 36 + -5w + -3x + -25y + -1(367w + -4x + 24) = 0 Reorder the terms: 36 + -5w + -3x + -25y + -1(24 + 367w + -4x) = 0 36 + -5w + -3x + -25y + (24 * -1 + 367w * -1 + -4x * -1) = 0 36 + -5w + -3x + -25y + (-24 + -367w + 4x) = 0 Reorder the terms: 36 + -24 + -5w + -367w + -3x + 4x + -25y = 0 Combine like terms: 36 + -24 = 12 12 + -5w + -367w + -3x + 4x + -25y = 0 Combine like terms: -5w + -367w = -372w 12 + -372w + -3x + 4x + -25y = 0 Combine like terms: -3x + 4x = 1x 12 + -372w + 1x + -25y = 0 Solving 12 + -372w + 1x + -25y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -372w + 1x + -12 + -25y = 0 + -12 Reorder the terms: 12 + -12 + -372w + 1x + -25y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -372w + 1x + -25y = 0 + -12 -372w + 1x + -25y = 0 + -12 Combine like terms: 0 + -12 = -12 -372w + 1x + -25y = -12 Add '-1x' to each side of the equation. -372w + 1x + -1x + -25y = -12 + -1x Combine like terms: 1x + -1x = 0 -372w + 0 + -25y = -12 + -1x -372w + -25y = -12 + -1x Add '25y' to each side of the equation. -372w + -25y + 25y = -12 + -1x + 25y Combine like terms: -25y + 25y = 0 -372w + 0 = -12 + -1x + 25y -372w = -12 + -1x + 25y Divide each side by '-372'. w = 0.03225806452 + 0.002688172043x + -0.06720430108y Simplifying w = 0.03225806452 + 0.002688172043x + -0.06720430108y
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