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Simplifying 1 + 2(6w + -6) = -3(3w + -1) + 3w Reorder the terms: 1 + 2(-6 + 6w) = -3(3w + -1) + 3w 1 + (-6 * 2 + 6w * 2) = -3(3w + -1) + 3w 1 + (-12 + 12w) = -3(3w + -1) + 3w Combine like terms: 1 + -12 = -11 -11 + 12w = -3(3w + -1) + 3w Reorder the terms: -11 + 12w = -3(-1 + 3w) + 3w -11 + 12w = (-1 * -3 + 3w * -3) + 3w -11 + 12w = (3 + -9w) + 3w Combine like terms: -9w + 3w = -6w -11 + 12w = 3 + -6w Solving -11 + 12w = 3 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -11 + 12w + 6w = 3 + -6w + 6w Combine like terms: 12w + 6w = 18w -11 + 18w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -11 + 18w = 3 + 0 -11 + 18w = 3 Add '11' to each side of the equation. -11 + 11 + 18w = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 18w = 3 + 11 18w = 3 + 11 Combine like terms: 3 + 11 = 14 18w = 14 Divide each side by '18'. w = 0.7777777778 Simplifying w = 0.7777777778
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