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Simplifying (-21 + 3w + 10x + 2y) + -1(12 + -372w + 1x + -25y) = 0 Remove parenthesis around (-21 + 3w + 10x + 2y) -21 + 3w + 10x + 2y + -1(12 + -372w + 1x + -25y) = 0 -21 + 3w + 10x + 2y + (12 * -1 + -372w * -1 + 1x * -1 + -25y * -1) = 0 -21 + 3w + 10x + 2y + (-12 + 372w + -1x + 25y) = 0 Reorder the terms: -21 + -12 + 3w + 372w + 10x + -1x + 2y + 25y = 0 Combine like terms: -21 + -12 = -33 -33 + 3w + 372w + 10x + -1x + 2y + 25y = 0 Combine like terms: 3w + 372w = 375w -33 + 375w + 10x + -1x + 2y + 25y = 0 Combine like terms: 10x + -1x = 9x -33 + 375w + 9x + 2y + 25y = 0 Combine like terms: 2y + 25y = 27y -33 + 375w + 9x + 27y = 0 Solving -33 + 375w + 9x + 27y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 375w + 9x + 33 + 27y = 0 + 33 Reorder the terms: -33 + 33 + 375w + 9x + 27y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 375w + 9x + 27y = 0 + 33 375w + 9x + 27y = 0 + 33 Combine like terms: 0 + 33 = 33 375w + 9x + 27y = 33 Add '-9x' to each side of the equation. 375w + 9x + -9x + 27y = 33 + -9x Combine like terms: 9x + -9x = 0 375w + 0 + 27y = 33 + -9x 375w + 27y = 33 + -9x Add '-27y' to each side of the equation. 375w + 27y + -27y = 33 + -9x + -27y Combine like terms: 27y + -27y = 0 375w + 0 = 33 + -9x + -27y 375w = 33 + -9x + -27y Divide each side by '375'. w = 0.088 + -0.024x + -0.072y Simplifying w = 0.088 + -0.024x + -0.072y
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