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Simplifying 6w + -36 = -7(w + -6) Reorder the terms: -36 + 6w = -7(w + -6) Reorder the terms: -36 + 6w = -7(-6 + w) -36 + 6w = (-6 * -7 + w * -7) -36 + 6w = (42 + -7w) Solving -36 + 6w = 42 + -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. -36 + 6w + 7w = 42 + -7w + 7w Combine like terms: 6w + 7w = 13w -36 + 13w = 42 + -7w + 7w Combine like terms: -7w + 7w = 0 -36 + 13w = 42 + 0 -36 + 13w = 42 Add '36' to each side of the equation. -36 + 36 + 13w = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 13w = 42 + 36 13w = 42 + 36 Combine like terms: 42 + 36 = 78 13w = 78 Divide each side by '13'. w = 6 Simplifying w = 6
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