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Simplifying 6(w + -1) = 3w + 3 + -3(-3w + -2) Reorder the terms: 6(-1 + w) = 3w + 3 + -3(-3w + -2) (-1 * 6 + w * 6) = 3w + 3 + -3(-3w + -2) (-6 + 6w) = 3w + 3 + -3(-3w + -2) Reorder the terms: -6 + 6w = 3w + 3 + -3(-2 + -3w) -6 + 6w = 3w + 3 + (-2 * -3 + -3w * -3) -6 + 6w = 3w + 3 + (6 + 9w) Reorder the terms: -6 + 6w = 3 + 6 + 3w + 9w Combine like terms: 3 + 6 = 9 -6 + 6w = 9 + 3w + 9w Combine like terms: 3w + 9w = 12w -6 + 6w = 9 + 12w Solving -6 + 6w = 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. -6 + 6w + -12w = 9 + 12w + -12w Combine like terms: 6w + -12w = -6w -6 + -6w = 9 + 12w + -12w Combine like terms: 12w + -12w = 0 -6 + -6w = 9 + 0 -6 + -6w = 9 Add '6' to each side of the equation. -6 + 6 + -6w = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = 9 + 6 -6w = 9 + 6 Combine like terms: 9 + 6 = 15 -6w = 15 Divide each side by '-6'. w = -2.5 Simplifying w = -2.5
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