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Simplifying -7(w + 1) = 5w + -7 + 2(3w + 3) Reorder the terms: -7(1 + w) = 5w + -7 + 2(3w + 3) (1 * -7 + w * -7) = 5w + -7 + 2(3w + 3) (-7 + -7w) = 5w + -7 + 2(3w + 3) Reorder the terms: -7 + -7w = 5w + -7 + 2(3 + 3w) -7 + -7w = 5w + -7 + (3 * 2 + 3w * 2) -7 + -7w = 5w + -7 + (6 + 6w) Reorder the terms: -7 + -7w = -7 + 6 + 5w + 6w Combine like terms: -7 + 6 = -1 -7 + -7w = -1 + 5w + 6w Combine like terms: 5w + 6w = 11w -7 + -7w = -1 + 11w Solving -7 + -7w = -1 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -7 + -7w + -11w = -1 + 11w + -11w Combine like terms: -7w + -11w = -18w -7 + -18w = -1 + 11w + -11w Combine like terms: 11w + -11w = 0 -7 + -18w = -1 + 0 -7 + -18w = -1 Add '7' to each side of the equation. -7 + 7 + -18w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -18w = -1 + 7 -18w = -1 + 7 Combine like terms: -1 + 7 = 6 -18w = 6 Divide each side by '-18'. w = -0.3333333333 Simplifying w = -0.3333333333
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