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Simplifying 6(w + -9) = -7w + 37 Reorder the terms: 6(-9 + w) = -7w + 37 (-9 * 6 + w * 6) = -7w + 37 (-54 + 6w) = -7w + 37 Reorder the terms: -54 + 6w = 37 + -7w Solving -54 + 6w = 37 + -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. -54 + 6w + 7w = 37 + -7w + 7w Combine like terms: 6w + 7w = 13w -54 + 13w = 37 + -7w + 7w Combine like terms: -7w + 7w = 0 -54 + 13w = 37 + 0 -54 + 13w = 37 Add '54' to each side of the equation. -54 + 54 + 13w = 37 + 54 Combine like terms: -54 + 54 = 0 0 + 13w = 37 + 54 13w = 37 + 54 Combine like terms: 37 + 54 = 91 13w = 91 Divide each side by '13'. w = 7 Simplifying w = 7
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