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Simplifying 5(w + -3) + -7 = -6(-3w + 3) + -5w Reorder the terms: 5(-3 + w) + -7 = -6(-3w + 3) + -5w (-3 * 5 + w * 5) + -7 = -6(-3w + 3) + -5w (-15 + 5w) + -7 = -6(-3w + 3) + -5w Reorder the terms: -15 + -7 + 5w = -6(-3w + 3) + -5w Combine like terms: -15 + -7 = -22 -22 + 5w = -6(-3w + 3) + -5w Reorder the terms: -22 + 5w = -6(3 + -3w) + -5w -22 + 5w = (3 * -6 + -3w * -6) + -5w -22 + 5w = (-18 + 18w) + -5w Combine like terms: 18w + -5w = 13w -22 + 5w = -18 + 13w Solving -22 + 5w = -18 + 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. -22 + 5w + -13w = -18 + 13w + -13w Combine like terms: 5w + -13w = -8w -22 + -8w = -18 + 13w + -13w Combine like terms: 13w + -13w = 0 -22 + -8w = -18 + 0 -22 + -8w = -18 Add '22' to each side of the equation. -22 + 22 + -8w = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -8w = -18 + 22 -8w = -18 + 22 Combine like terms: -18 + 22 = 4 -8w = 4 Divide each side by '-8'. w = -0.5 Simplifying w = -0.5
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