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Simplifying 4(w + -2) = 8w + 4 + -2(-4w + -3) Reorder the terms: 4(-2 + w) = 8w + 4 + -2(-4w + -3) (-2 * 4 + w * 4) = 8w + 4 + -2(-4w + -3) (-8 + 4w) = 8w + 4 + -2(-4w + -3) Reorder the terms: -8 + 4w = 8w + 4 + -2(-3 + -4w) -8 + 4w = 8w + 4 + (-3 * -2 + -4w * -2) -8 + 4w = 8w + 4 + (6 + 8w) Reorder the terms: -8 + 4w = 4 + 6 + 8w + 8w Combine like terms: 4 + 6 = 10 -8 + 4w = 10 + 8w + 8w Combine like terms: 8w + 8w = 16w -8 + 4w = 10 + 16w Solving -8 + 4w = 10 + 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 = 10 + 16w + -16w Combine like terms: 4w + -16w = -12w -8 + -12w = 10 + 16w + -16w Combine like terms: 16w + -16w = 0 -8 + -12w = 10 + 0 -8 + -12w = 10 Add '8' to each side of the equation. -8 + 8 + -12w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -12w = 10 + 8 -12w = 10 + 8 Combine like terms: 10 + 8 = 18 -12w = 18 Divide each side by '-12'. w = -1.5 Simplifying w = -1.5
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