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Simplifying 3(w + -3) + -1 = -3(-6w + 3) + -6w Reorder the terms: 3(-3 + w) + -1 = -3(-6w + 3) + -6w (-3 * 3 + w * 3) + -1 = -3(-6w + 3) + -6w (-9 + 3w) + -1 = -3(-6w + 3) + -6w Reorder the terms: -9 + -1 + 3w = -3(-6w + 3) + -6w Combine like terms: -9 + -1 = -10 -10 + 3w = -3(-6w + 3) + -6w Reorder the terms: -10 + 3w = -3(3 + -6w) + -6w -10 + 3w = (3 * -3 + -6w * -3) + -6w -10 + 3w = (-9 + 18w) + -6w Combine like terms: 18w + -6w = 12w -10 + 3w = -9 + 12w Solving -10 + 3w = -9 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -10 + 3w + -12w = -9 + 12w + -12w Combine like terms: 3w + -12w = -9w -10 + -9w = -9 + 12w + -12w Combine like terms: 12w + -12w = 0 -10 + -9w = -9 + 0 -10 + -9w = -9 Add '10' to each side of the equation. -10 + 10 + -9w = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -9w = -9 + 10 -9w = -9 + 10 Combine like terms: -9 + 10 = 1 -9w = 1 Divide each side by '-9'. w = -0.1111111111 Simplifying w = -0.1111111111
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