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Simplifying 7w + -3(6 + 2w) = 3w + -8 7w + (6 * -3 + 2w * -3) = 3w + -8 7w + (-18 + -6w) = 3w + -8 Reorder the terms: -18 + 7w + -6w = 3w + -8 Combine like terms: 7w + -6w = 1w -18 + 1w = 3w + -8 Reorder the terms: -18 + 1w = -8 + 3w Solving -18 + 1w = -8 + 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. -18 + 1w + -3w = -8 + 3w + -3w Combine like terms: 1w + -3w = -2w -18 + -2w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 -18 + -2w = -8 + 0 -18 + -2w = -8 Add '18' to each side of the equation. -18 + 18 + -2w = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = -8 + 18 -2w = -8 + 18 Combine like terms: -8 + 18 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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