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Simplifying (-5w + -3x + -25y + 36) + -1(7w + -4x + 36y + 24) = 0 Reorder the terms: (36 + -5w + -3x + -25y) + -1(7w + -4x + 36y + 24) = 0 Remove parenthesis around (36 + -5w + -3x + -25y) 36 + -5w + -3x + -25y + -1(7w + -4x + 36y + 24) = 0 Reorder the terms: 36 + -5w + -3x + -25y + -1(24 + 7w + -4x + 36y) = 0 36 + -5w + -3x + -25y + (24 * -1 + 7w * -1 + -4x * -1 + 36y * -1) = 0 36 + -5w + -3x + -25y + (-24 + -7w + 4x + -36y) = 0 Reorder the terms: 36 + -24 + -5w + -7w + -3x + 4x + -25y + -36y = 0 Combine like terms: 36 + -24 = 12 12 + -5w + -7w + -3x + 4x + -25y + -36y = 0 Combine like terms: -5w + -7w = -12w 12 + -12w + -3x + 4x + -25y + -36y = 0 Combine like terms: -3x + 4x = 1x 12 + -12w + 1x + -25y + -36y = 0 Combine like terms: -25y + -36y = -61y 12 + -12w + 1x + -61y = 0 Solving 12 + -12w + 1x + -61y = 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 + -12w + 1x + -12 + -61y = 0 + -12 Reorder the terms: 12 + -12 + -12w + 1x + -61y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12w + 1x + -61y = 0 + -12 -12w + 1x + -61y = 0 + -12 Combine like terms: 0 + -12 = -12 -12w + 1x + -61y = -12 Add '-1x' to each side of the equation. -12w + 1x + -1x + -61y = -12 + -1x Combine like terms: 1x + -1x = 0 -12w + 0 + -61y = -12 + -1x -12w + -61y = -12 + -1x Add '61y' to each side of the equation. -12w + -61y + 61y = -12 + -1x + 61y Combine like terms: -61y + 61y = 0 -12w + 0 = -12 + -1x + 61y -12w = -12 + -1x + 61y Divide each side by '-12'. w = 1 + 0.08333333333x + -5.083333333y Simplifying w = 1 + 0.08333333333x + -5.083333333y
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