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Simplifying 6 + -3(2w + 4) = (8 + -1w) Reorder the terms: 6 + -3(4 + 2w) = (8 + -1w) 6 + (4 * -3 + 2w * -3) = (8 + -1w) 6 + (-12 + -6w) = (8 + -1w) Combine like terms: 6 + -12 = -6 -6 + -6w = (8 + -1w) Remove parenthesis around (8 + -1w) -6 + -6w = 8 + -1w Solving -6 + -6w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + -6w + w = 8 + -1w + w Combine like terms: -6w + w = -5w -6 + -5w = 8 + -1w + w Combine like terms: -1w + w = 0 -6 + -5w = 8 + 0 -6 + -5w = 8 Add '6' to each side of the equation. -6 + 6 + -5w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -5w = 8 + 6 -5w = 8 + 6 Combine like terms: 8 + 6 = 14 -5w = 14 Divide each side by '-5'. w = -2.8 Simplifying w = -2.8
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