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Simplifying 6w + -3 + 5(2w + 2) = -2(w + 1) Reorder the terms: 6w + -3 + 5(2 + 2w) = -2(w + 1) 6w + -3 + (2 * 5 + 2w * 5) = -2(w + 1) 6w + -3 + (10 + 10w) = -2(w + 1) Reorder the terms: -3 + 10 + 6w + 10w = -2(w + 1) Combine like terms: -3 + 10 = 7 7 + 6w + 10w = -2(w + 1) Combine like terms: 6w + 10w = 16w 7 + 16w = -2(w + 1) Reorder the terms: 7 + 16w = -2(1 + w) 7 + 16w = (1 * -2 + w * -2) 7 + 16w = (-2 + -2w) Solving 7 + 16w = -2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 7 + 16w + 2w = -2 + -2w + 2w Combine like terms: 16w + 2w = 18w 7 + 18w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 18w = -2 + 0 7 + 18w = -2 Add '-7' to each side of the equation. 7 + -7 + 18w = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 18w = -2 + -7 18w = -2 + -7 Combine like terms: -2 + -7 = -9 18w = -9 Divide each side by '18'. w = -0.5 Simplifying w = -0.5
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