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Simplifying (10x + 2y + -21 + 3w) + -1(12 + -12w + -1x + -61y) = 0 Reorder the terms: (-21 + 3w + 10x + 2y) + -1(12 + -12w + -1x + -61y) = 0 Remove parenthesis around (-21 + 3w + 10x + 2y) -21 + 3w + 10x + 2y + -1(12 + -12w + -1x + -61y) = 0 -21 + 3w + 10x + 2y + (12 * -1 + -12w * -1 + -1x * -1 + -61y * -1) = 0 -21 + 3w + 10x + 2y + (-12 + 12w + 1x + 61y) = 0 Reorder the terms: -21 + -12 + 3w + 12w + 10x + 1x + 2y + 61y = 0 Combine like terms: -21 + -12 = -33 -33 + 3w + 12w + 10x + 1x + 2y + 61y = 0 Combine like terms: 3w + 12w = 15w -33 + 15w + 10x + 1x + 2y + 61y = 0 Combine like terms: 10x + 1x = 11x -33 + 15w + 11x + 2y + 61y = 0 Combine like terms: 2y + 61y = 63y -33 + 15w + 11x + 63y = 0 Solving -33 + 15w + 11x + 63y = 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 + 11x + 33 + 63y = 0 + 33 Reorder the terms: -33 + 33 + 15w + 11x + 63y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 15w + 11x + 63y = 0 + 33 15w + 11x + 63y = 0 + 33 Combine like terms: 0 + 33 = 33 15w + 11x + 63y = 33 Add '-11x' to each side of the equation. 15w + 11x + -11x + 63y = 33 + -11x Combine like terms: 11x + -11x = 0 15w + 0 + 63y = 33 + -11x 15w + 63y = 33 + -11x Add '-63y' to each side of the equation. 15w + 63y + -63y = 33 + -11x + -63y Combine like terms: 63y + -63y = 0 15w + 0 = 33 + -11x + -63y 15w = 33 + -11x + -63y Divide each side by '15'. w = 2.2 + -0.7333333333x + -4.2y Simplifying w = 2.2 + -0.7333333333x + -4.2y
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