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Simplifying -3(w + 1) + 7w = 4(4w + 1) Reorder the terms: -3(1 + w) + 7w = 4(4w + 1) (1 * -3 + w * -3) + 7w = 4(4w + 1) (-3 + -3w) + 7w = 4(4w + 1) Combine like terms: -3w + 7w = 4w -3 + 4w = 4(4w + 1) Reorder the terms: -3 + 4w = 4(1 + 4w) -3 + 4w = (1 * 4 + 4w * 4) -3 + 4w = (4 + 16w) Solving -3 + 4w = 4 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -3 + 4w + -16w = 4 + 16w + -16w Combine like terms: 4w + -16w = -12w -3 + -12w = 4 + 16w + -16w Combine like terms: 16w + -16w = 0 -3 + -12w = 4 + 0 -3 + -12w = 4 Add '3' to each side of the equation. -3 + 3 + -12w = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -12w = 4 + 3 -12w = 4 + 3 Combine like terms: 4 + 3 = 7 -12w = 7 Divide each side by '-12'. w = -0.5833333333 Simplifying w = -0.5833333333
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