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Simplifying -16 = 6(w + -7) + 7w Reorder the terms: -16 = 6(-7 + w) + 7w -16 = (-7 * 6 + w * 6) + 7w -16 = (-42 + 6w) + 7w Combine like terms: 6w + 7w = 13w -16 = -42 + 13w Solving -16 = -42 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -16 + -13w = -42 + 13w + -13w Combine like terms: 13w + -13w = 0 -16 + -13w = -42 + 0 -16 + -13w = -42 Add '16' to each side of the equation. -16 + 16 + -13w = -42 + 16 Combine like terms: -16 + 16 = 0 0 + -13w = -42 + 16 -13w = -42 + 16 Combine like terms: -42 + 16 = -26 -13w = -26 Divide each side by '-13'. w = 2 Simplifying w = 2
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