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Simplifying 3(w + 5) = 7w + 3 Reorder the terms: 3(5 + w) = 7w + 3 (5 * 3 + w * 3) = 7w + 3 (15 + 3w) = 7w + 3 Reorder the terms: 15 + 3w = 3 + 7w Solving 15 + 3w = 3 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 15 + 3w + -7w = 3 + 7w + -7w Combine like terms: 3w + -7w = -4w 15 + -4w = 3 + 7w + -7w Combine like terms: 7w + -7w = 0 15 + -4w = 3 + 0 15 + -4w = 3 Add '-15' to each side of the equation. 15 + -15 + -4w = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4w = 3 + -15 -4w = 3 + -15 Combine like terms: 3 + -15 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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