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Simplifying -3(w + -6) = 4w + 48 Reorder the terms: -3(-6 + w) = 4w + 48 (-6 * -3 + w * -3) = 4w + 48 (18 + -3w) = 4w + 48 Reorder the terms: 18 + -3w = 48 + 4w Solving 18 + -3w = 48 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 18 + -3w + -4w = 48 + 4w + -4w Combine like terms: -3w + -4w = -7w 18 + -7w = 48 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -7w = 48 + 0 18 + -7w = 48 Add '-18' to each side of the equation. 18 + -18 + -7w = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -7w = 48 + -18 -7w = 48 + -18 Combine like terms: 48 + -18 = 30 -7w = 30 Divide each side by '-7'. w = -4.285714286 Simplifying w = -4.285714286
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