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Simplifying 7(w + -3) + -7 = -6(-3w + 7) + -5w Reorder the terms: 7(-3 + w) + -7 = -6(-3w + 7) + -5w (-3 * 7 + w * 7) + -7 = -6(-3w + 7) + -5w (-21 + 7w) + -7 = -6(-3w + 7) + -5w Reorder the terms: -21 + -7 + 7w = -6(-3w + 7) + -5w Combine like terms: -21 + -7 = -28 -28 + 7w = -6(-3w + 7) + -5w Reorder the terms: -28 + 7w = -6(7 + -3w) + -5w -28 + 7w = (7 * -6 + -3w * -6) + -5w -28 + 7w = (-42 + 18w) + -5w Combine like terms: 18w + -5w = 13w -28 + 7w = -42 + 13w Solving -28 + 7w = -42 + 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. -28 + 7w + -13w = -42 + 13w + -13w Combine like terms: 7w + -13w = -6w -28 + -6w = -42 + 13w + -13w Combine like terms: 13w + -13w = 0 -28 + -6w = -42 + 0 -28 + -6w = -42 Add '28' to each side of the equation. -28 + 28 + -6w = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -6w = -42 + 28 -6w = -42 + 28 Combine like terms: -42 + 28 = -14 -6w = -14 Divide each side by '-6'. w = 2.333333333 Simplifying w = 2.333333333
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