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Simplifying -2(w + 4) = 4w + -9 + 2(6w + 5) Reorder the terms: -2(4 + w) = 4w + -9 + 2(6w + 5) (4 * -2 + w * -2) = 4w + -9 + 2(6w + 5) (-8 + -2w) = 4w + -9 + 2(6w + 5) Reorder the terms: -8 + -2w = 4w + -9 + 2(5 + 6w) -8 + -2w = 4w + -9 + (5 * 2 + 6w * 2) -8 + -2w = 4w + -9 + (10 + 12w) Reorder the terms: -8 + -2w = -9 + 10 + 4w + 12w Combine like terms: -9 + 10 = 1 -8 + -2w = 1 + 4w + 12w Combine like terms: 4w + 12w = 16w -8 + -2w = 1 + 16w Solving -8 + -2w = 1 + 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 + -2w + -16w = 1 + 16w + -16w Combine like terms: -2w + -16w = -18w -8 + -18w = 1 + 16w + -16w Combine like terms: 16w + -16w = 0 -8 + -18w = 1 + 0 -8 + -18w = 1 Add '8' to each side of the equation. -8 + 8 + -18w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -18w = 1 + 8 -18w = 1 + 8 Combine like terms: 1 + 8 = 9 -18w = 9 Divide each side by '-18'. w = -0.5 Simplifying w = -0.5
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