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Simplifying 7w + -7 + 2(3w + 1) = -3(w + 3) Reorder the terms: 7w + -7 + 2(1 + 3w) = -3(w + 3) 7w + -7 + (1 * 2 + 3w * 2) = -3(w + 3) 7w + -7 + (2 + 6w) = -3(w + 3) Reorder the terms: -7 + 2 + 7w + 6w = -3(w + 3) Combine like terms: -7 + 2 = -5 -5 + 7w + 6w = -3(w + 3) Combine like terms: 7w + 6w = 13w -5 + 13w = -3(w + 3) Reorder the terms: -5 + 13w = -3(3 + w) -5 + 13w = (3 * -3 + w * -3) -5 + 13w = (-9 + -3w) Solving -5 + 13w = -9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -5 + 13w + 3w = -9 + -3w + 3w Combine like terms: 13w + 3w = 16w -5 + 16w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 -5 + 16w = -9 + 0 -5 + 16w = -9 Add '5' to each side of the equation. -5 + 5 + 16w = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 16w = -9 + 5 16w = -9 + 5 Combine like terms: -9 + 5 = -4 16w = -4 Divide each side by '16'. w = -0.25 Simplifying w = -0.25
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