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Simplifying -7(-3w + 2) + -5w = 4(w + -2) + -2 Reorder the terms: -7(2 + -3w) + -5w = 4(w + -2) + -2 (2 * -7 + -3w * -7) + -5w = 4(w + -2) + -2 (-14 + 21w) + -5w = 4(w + -2) + -2 Combine like terms: 21w + -5w = 16w -14 + 16w = 4(w + -2) + -2 Reorder the terms: -14 + 16w = 4(-2 + w) + -2 -14 + 16w = (-2 * 4 + w * 4) + -2 -14 + 16w = (-8 + 4w) + -2 Reorder the terms: -14 + 16w = -8 + -2 + 4w Combine like terms: -8 + -2 = -10 -14 + 16w = -10 + 4w Solving -14 + 16w = -10 + 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. -14 + 16w + -4w = -10 + 4w + -4w Combine like terms: 16w + -4w = 12w -14 + 12w = -10 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + 12w = -10 + 0 -14 + 12w = -10 Add '14' to each side of the equation. -14 + 14 + 12w = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 12w = -10 + 14 12w = -10 + 14 Combine like terms: -10 + 14 = 4 12w = 4 Divide each side by '12'. w = 0.3333333333 Simplifying w = 0.3333333333
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