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Simplifying 4(w + -2) = 4w + 5 + -3(-4w + -1) Reorder the terms: 4(-2 + w) = 4w + 5 + -3(-4w + -1) (-2 * 4 + w * 4) = 4w + 5 + -3(-4w + -1) (-8 + 4w) = 4w + 5 + -3(-4w + -1) Reorder the terms: -8 + 4w = 4w + 5 + -3(-1 + -4w) -8 + 4w = 4w + 5 + (-1 * -3 + -4w * -3) -8 + 4w = 4w + 5 + (3 + 12w) Reorder the terms: -8 + 4w = 5 + 3 + 4w + 12w Combine like terms: 5 + 3 = 8 -8 + 4w = 8 + 4w + 12w Combine like terms: 4w + 12w = 16w -8 + 4w = 8 + 16w Solving -8 + 4w = 8 + 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. -8 + 4w + -16w = 8 + 16w + -16w Combine like terms: 4w + -16w = -12w -8 + -12w = 8 + 16w + -16w Combine like terms: 16w + -16w = 0 -8 + -12w = 8 + 0 -8 + -12w = 8 Add '8' to each side of the equation. -8 + 8 + -12w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -12w = 8 + 8 -12w = 8 + 8 Combine like terms: 8 + 8 = 16 -12w = 16 Divide each side by '-12'. w = -1.333333333 Simplifying w = -1.333333333
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