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Simplifying -6(2w + -8) = 2(-8w + -9) Reorder the terms: -6(-8 + 2w) = 2(-8w + -9) (-8 * -6 + 2w * -6) = 2(-8w + -9) (48 + -12w) = 2(-8w + -9) Reorder the terms: 48 + -12w = 2(-9 + -8w) 48 + -12w = (-9 * 2 + -8w * 2) 48 + -12w = (-18 + -16w) Solving 48 + -12w = -18 + -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. 48 + -12w + 16w = -18 + -16w + 16w Combine like terms: -12w + 16w = 4w 48 + 4w = -18 + -16w + 16w Combine like terms: -16w + 16w = 0 48 + 4w = -18 + 0 48 + 4w = -18 Add '-48' to each side of the equation. 48 + -48 + 4w = -18 + -48 Combine like terms: 48 + -48 = 0 0 + 4w = -18 + -48 4w = -18 + -48 Combine like terms: -18 + -48 = -66 4w = -66 Divide each side by '4'. w = -16.5 Simplifying w = -16.5
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