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Simplifying -3(1 + 6w) = 14 + -1w (1 * -3 + 6w * -3) = 14 + -1w (-3 + -18w) = 14 + -1w Solving -3 + -18w = 14 + -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. -3 + -18w + w = 14 + -1w + w Combine like terms: -18w + w = -17w -3 + -17w = 14 + -1w + w Combine like terms: -1w + w = 0 -3 + -17w = 14 + 0 -3 + -17w = 14 Add '3' to each side of the equation. -3 + 3 + -17w = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -17w = 14 + 3 -17w = 14 + 3 Combine like terms: 14 + 3 = 17 -17w = 17 Divide each side by '-17'. w = -1 Simplifying w = -1
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