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Simplifying -6w + 45 = 7w + -7 Reorder the terms: 45 + -6w = 7w + -7 Reorder the terms: 45 + -6w = -7 + 7w Solving 45 + -6w = -7 + 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. 45 + -6w + -7w = -7 + 7w + -7w Combine like terms: -6w + -7w = -13w 45 + -13w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 45 + -13w = -7 + 0 45 + -13w = -7 Add '-45' to each side of the equation. 45 + -45 + -13w = -7 + -45 Combine like terms: 45 + -45 = 0 0 + -13w = -7 + -45 -13w = -7 + -45 Combine like terms: -7 + -45 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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