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Simplifying 7(w + -4) + -4 = -3(-5w + 8) + -2w Reorder the terms: 7(-4 + w) + -4 = -3(-5w + 8) + -2w (-4 * 7 + w * 7) + -4 = -3(-5w + 8) + -2w (-28 + 7w) + -4 = -3(-5w + 8) + -2w Reorder the terms: -28 + -4 + 7w = -3(-5w + 8) + -2w Combine like terms: -28 + -4 = -32 -32 + 7w = -3(-5w + 8) + -2w Reorder the terms: -32 + 7w = -3(8 + -5w) + -2w -32 + 7w = (8 * -3 + -5w * -3) + -2w -32 + 7w = (-24 + 15w) + -2w Combine like terms: 15w + -2w = 13w -32 + 7w = -24 + 13w Solving -32 + 7w = -24 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -32 + 7w + -13w = -24 + 13w + -13w Combine like terms: 7w + -13w = -6w -32 + -6w = -24 + 13w + -13w Combine like terms: 13w + -13w = 0 -32 + -6w = -24 + 0 -32 + -6w = -24 Add '32' to each side of the equation. -32 + 32 + -6w = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -6w = -24 + 32 -6w = -24 + 32 Combine like terms: -24 + 32 = 8 -6w = 8 Divide each side by '-6'. w = -1.333333333 Simplifying w = -1.333333333
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