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Simplifying 48 + -3w = 2(2w + 4) Reorder the terms: 48 + -3w = 2(4 + 2w) 48 + -3w = (4 * 2 + 2w * 2) 48 + -3w = (8 + 4w) Solving 48 + -3w = 8 + 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. 48 + -3w + -4w = 8 + 4w + -4w Combine like terms: -3w + -4w = -7w 48 + -7w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 48 + -7w = 8 + 0 48 + -7w = 8 Add '-48' to each side of the equation. 48 + -48 + -7w = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -7w = 8 + -48 -7w = 8 + -48 Combine like terms: 8 + -48 = -40 -7w = -40 Divide each side by '-7'. w = 5.714285714 Simplifying w = 5.714285714
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