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Simplifying 8w + 4 + -2(-6w + -3) = 4(w + -1) Reorder the terms: 8w + 4 + -2(-3 + -6w) = 4(w + -1) 8w + 4 + (-3 * -2 + -6w * -2) = 4(w + -1) 8w + 4 + (6 + 12w) = 4(w + -1) Reorder the terms: 4 + 6 + 8w + 12w = 4(w + -1) Combine like terms: 4 + 6 = 10 10 + 8w + 12w = 4(w + -1) Combine like terms: 8w + 12w = 20w 10 + 20w = 4(w + -1) Reorder the terms: 10 + 20w = 4(-1 + w) 10 + 20w = (-1 * 4 + w * 4) 10 + 20w = (-4 + 4w) Solving 10 + 20w = -4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 10 + 20w + -4w = -4 + 4w + -4w Combine like terms: 20w + -4w = 16w 10 + 16w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 16w = -4 + 0 10 + 16w = -4 Add '-10' to each side of the equation. 10 + -10 + 16w = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 16w = -4 + -10 16w = -4 + -10 Combine like terms: -4 + -10 = -14 16w = -14 Divide each side by '16'. w = -0.875 Simplifying w = -0.875
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