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Simplifying -6(w + 1) = 3w + -4 + 3(3w + 2) Reorder the terms: -6(1 + w) = 3w + -4 + 3(3w + 2) (1 * -6 + w * -6) = 3w + -4 + 3(3w + 2) (-6 + -6w) = 3w + -4 + 3(3w + 2) Reorder the terms: -6 + -6w = 3w + -4 + 3(2 + 3w) -6 + -6w = 3w + -4 + (2 * 3 + 3w * 3) -6 + -6w = 3w + -4 + (6 + 9w) Reorder the terms: -6 + -6w = -4 + 6 + 3w + 9w Combine like terms: -4 + 6 = 2 -6 + -6w = 2 + 3w + 9w Combine like terms: 3w + 9w = 12w -6 + -6w = 2 + 12w Solving -6 + -6w = 2 + 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 = 2 + 12w + -12w Combine like terms: -6w + -12w = -18w -6 + -18w = 2 + 12w + -12w Combine like terms: 12w + -12w = 0 -6 + -18w = 2 + 0 -6 + -18w = 2 Add '6' to each side of the equation. -6 + 6 + -18w = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -18w = 2 + 6 -18w = 2 + 6 Combine like terms: 2 + 6 = 8 -18w = 8 Divide each side by '-18'. w = -0.4444444444 Simplifying w = -0.4444444444
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