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Simplifying -3(6w + -2) = 40 + -1w Reorder the terms: -3(-2 + 6w) = 40 + -1w (-2 * -3 + 6w * -3) = 40 + -1w (6 + -18w) = 40 + -1w Solving 6 + -18w = 40 + -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 + -18w + w = 40 + -1w + w Combine like terms: -18w + w = -17w 6 + -17w = 40 + -1w + w Combine like terms: -1w + w = 0 6 + -17w = 40 + 0 6 + -17w = 40 Add '-6' to each side of the equation. 6 + -6 + -17w = 40 + -6 Combine like terms: 6 + -6 = 0 0 + -17w = 40 + -6 -17w = 40 + -6 Combine like terms: 40 + -6 = 34 -17w = 34 Divide each side by '-17'. w = -2 Simplifying w = -2
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