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Simplifying 6w + -9 = -7(w + -8) Reorder the terms: -9 + 6w = -7(w + -8) Reorder the terms: -9 + 6w = -7(-8 + w) -9 + 6w = (-8 * -7 + w * -7) -9 + 6w = (56 + -7w) Solving -9 + 6w = 56 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -9 + 6w + 7w = 56 + -7w + 7w Combine like terms: 6w + 7w = 13w -9 + 13w = 56 + -7w + 7w Combine like terms: -7w + 7w = 0 -9 + 13w = 56 + 0 -9 + 13w = 56 Add '9' to each side of the equation. -9 + 9 + 13w = 56 + 9 Combine like terms: -9 + 9 = 0 0 + 13w = 56 + 9 13w = 56 + 9 Combine like terms: 56 + 9 = 65 13w = 65 Divide each side by '13'. w = 5 Simplifying w = 5
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