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Simplifying 6(2w + 8) + 3w = 2(10w + -5) + -4w Reorder the terms: 6(8 + 2w) + 3w = 2(10w + -5) + -4w (8 * 6 + 2w * 6) + 3w = 2(10w + -5) + -4w (48 + 12w) + 3w = 2(10w + -5) + -4w Combine like terms: 12w + 3w = 15w 48 + 15w = 2(10w + -5) + -4w Reorder the terms: 48 + 15w = 2(-5 + 10w) + -4w 48 + 15w = (-5 * 2 + 10w * 2) + -4w 48 + 15w = (-10 + 20w) + -4w Combine like terms: 20w + -4w = 16w 48 + 15w = -10 + 16w Solving 48 + 15w = -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. 48 + 15w + -16w = -10 + 16w + -16w Combine like terms: 15w + -16w = -1w 48 + -1w = -10 + 16w + -16w Combine like terms: 16w + -16w = 0 48 + -1w = -10 + 0 48 + -1w = -10 Add '-48' to each side of the equation. 48 + -48 + -1w = -10 + -48 Combine like terms: 48 + -48 = 0 0 + -1w = -10 + -48 -1w = -10 + -48 Combine like terms: -10 + -48 = -58 -1w = -58 Divide each side by '-1'. w = 58 Simplifying w = 58
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