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Simplifying 5(w + 3) = 6w Reorder the terms: 5(3 + w) = 6w (3 * 5 + w * 5) = 6w (15 + 5w) = 6w Solving 15 + 5w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 15 + 5w + -6w = 6w + -6w Combine like terms: 5w + -6w = -1w 15 + -1w = 6w + -6w Combine like terms: 6w + -6w = 0 15 + -1w = 0 Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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