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Simplifying 7w + 5 + -2(-6w + -3) = 7(w + -1) Reorder the terms: 7w + 5 + -2(-3 + -6w) = 7(w + -1) 7w + 5 + (-3 * -2 + -6w * -2) = 7(w + -1) 7w + 5 + (6 + 12w) = 7(w + -1) Reorder the terms: 5 + 6 + 7w + 12w = 7(w + -1) Combine like terms: 5 + 6 = 11 11 + 7w + 12w = 7(w + -1) Combine like terms: 7w + 12w = 19w 11 + 19w = 7(w + -1) Reorder the terms: 11 + 19w = 7(-1 + w) 11 + 19w = (-1 * 7 + w * 7) 11 + 19w = (-7 + 7w) Solving 11 + 19w = -7 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 11 + 19w + -7w = -7 + 7w + -7w Combine like terms: 19w + -7w = 12w 11 + 12w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 11 + 12w = -7 + 0 11 + 12w = -7 Add '-11' to each side of the equation. 11 + -11 + 12w = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 12w = -7 + -11 12w = -7 + -11 Combine like terms: -7 + -11 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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