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Simplifying 7w + -2 = -6(w + -4) Reorder the terms: -2 + 7w = -6(w + -4) Reorder the terms: -2 + 7w = -6(-4 + w) -2 + 7w = (-4 * -6 + w * -6) -2 + 7w = (24 + -6w) Solving -2 + 7w = 24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -2 + 7w + 6w = 24 + -6w + 6w Combine like terms: 7w + 6w = 13w -2 + 13w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + 13w = 24 + 0 -2 + 13w = 24 Add '2' to each side of the equation. -2 + 2 + 13w = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 13w = 24 + 2 13w = 24 + 2 Combine like terms: 24 + 2 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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