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Simplifying 2(w + -3) = 3w + 4 + -3(-3w + -2) Reorder the terms: 2(-3 + w) = 3w + 4 + -3(-3w + -2) (-3 * 2 + w * 2) = 3w + 4 + -3(-3w + -2) (-6 + 2w) = 3w + 4 + -3(-3w + -2) Reorder the terms: -6 + 2w = 3w + 4 + -3(-2 + -3w) -6 + 2w = 3w + 4 + (-2 * -3 + -3w * -3) -6 + 2w = 3w + 4 + (6 + 9w) Reorder the terms: -6 + 2w = 4 + 6 + 3w + 9w Combine like terms: 4 + 6 = 10 -6 + 2w = 10 + 3w + 9w Combine like terms: 3w + 9w = 12w -6 + 2w = 10 + 12w Solving -6 + 2w = 10 + 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 + 2w + -12w = 10 + 12w + -12w Combine like terms: 2w + -12w = -10w -6 + -10w = 10 + 12w + -12w Combine like terms: 12w + -12w = 0 -6 + -10w = 10 + 0 -6 + -10w = 10 Add '6' to each side of the equation. -6 + 6 + -10w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -10w = 10 + 6 -10w = 10 + 6 Combine like terms: 10 + 6 = 16 -10w = 16 Divide each side by '-10'. w = -1.6 Simplifying w = -1.6
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