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Simplifying (3w + 10x + -2y + -21) + -1(-12w + 1x + -12y + 12) = 0 Reorder the terms: (-21 + 3w + 10x + -2y) + -1(-12w + 1x + -12y + 12) = 0 Remove parenthesis around (-21 + 3w + 10x + -2y) -21 + 3w + 10x + -2y + -1(-12w + 1x + -12y + 12) = 0 Reorder the terms: -21 + 3w + 10x + -2y + -1(12 + -12w + 1x + -12y) = 0 -21 + 3w + 10x + -2y + (12 * -1 + -12w * -1 + 1x * -1 + -12y * -1) = 0 -21 + 3w + 10x + -2y + (-12 + 12w + -1x + 12y) = 0 Reorder the terms: -21 + -12 + 3w + 12w + 10x + -1x + -2y + 12y = 0 Combine like terms: -21 + -12 = -33 -33 + 3w + 12w + 10x + -1x + -2y + 12y = 0 Combine like terms: 3w + 12w = 15w -33 + 15w + 10x + -1x + -2y + 12y = 0 Combine like terms: 10x + -1x = 9x -33 + 15w + 9x + -2y + 12y = 0 Combine like terms: -2y + 12y = 10y -33 + 15w + 9x + 10y = 0 Solving -33 + 15w + 9x + 10y = 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 + 15w + 9x + 33 + 10y = 0 + 33 Reorder the terms: -33 + 33 + 15w + 9x + 10y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 15w + 9x + 10y = 0 + 33 15w + 9x + 10y = 0 + 33 Combine like terms: 0 + 33 = 33 15w + 9x + 10y = 33 Add '-9x' to each side of the equation. 15w + 9x + -9x + 10y = 33 + -9x Combine like terms: 9x + -9x = 0 15w + 0 + 10y = 33 + -9x 15w + 10y = 33 + -9x Add '-10y' to each side of the equation. 15w + 10y + -10y = 33 + -9x + -10y Combine like terms: 10y + -10y = 0 15w + 0 = 33 + -9x + -10y 15w = 33 + -9x + -10y Divide each side by '15'. w = 2.2 + -0.6x + -0.6666666667y Simplifying w = 2.2 + -0.6x + -0.6666666667y
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