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Simplifying 6 + 3(3w + -7) = -3(2w + -1) + 3w Reorder the terms: 6 + 3(-7 + 3w) = -3(2w + -1) + 3w 6 + (-7 * 3 + 3w * 3) = -3(2w + -1) + 3w 6 + (-21 + 9w) = -3(2w + -1) + 3w Combine like terms: 6 + -21 = -15 -15 + 9w = -3(2w + -1) + 3w Reorder the terms: -15 + 9w = -3(-1 + 2w) + 3w -15 + 9w = (-1 * -3 + 2w * -3) + 3w -15 + 9w = (3 + -6w) + 3w Combine like terms: -6w + 3w = -3w -15 + 9w = 3 + -3w Solving -15 + 9w = 3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -15 + 9w + 3w = 3 + -3w + 3w Combine like terms: 9w + 3w = 12w -15 + 12w = 3 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 12w = 3 + 0 -15 + 12w = 3 Add '15' to each side of the equation. -15 + 15 + 12w = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 12w = 3 + 15 12w = 3 + 15 Combine like terms: 3 + 15 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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