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Simplifying -6(w + 4) + -1(7w + -9) = -14w Reorder the terms: -6(4 + w) + -1(7w + -9) = -14w (4 * -6 + w * -6) + -1(7w + -9) = -14w (-24 + -6w) + -1(7w + -9) = -14w Reorder the terms: -24 + -6w + -1(-9 + 7w) = -14w -24 + -6w + (-9 * -1 + 7w * -1) = -14w -24 + -6w + (9 + -7w) = -14w Reorder the terms: -24 + 9 + -6w + -7w = -14w Combine like terms: -24 + 9 = -15 -15 + -6w + -7w = -14w Combine like terms: -6w + -7w = -13w -15 + -13w = -14w Solving -15 + -13w = -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -15 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w -15 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 -15 + 1w = 0 Add '15' to each side of the equation. -15 + 15 + 1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 0 + 15 1w = 0 + 15 Combine like terms: 0 + 15 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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