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Simplifying 6w + -3 = 3(w + 5) Reorder the terms: -3 + 6w = 3(w + 5) Reorder the terms: -3 + 6w = 3(5 + w) -3 + 6w = (5 * 3 + w * 3) -3 + 6w = (15 + 3w) Solving -3 + 6w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -3 + 6w + -3w = 15 + 3w + -3w Combine like terms: 6w + -3w = 3w -3 + 3w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 3w = 15 + 0 -3 + 3w = 15 Add '3' to each side of the equation. -3 + 3 + 3w = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 15 + 3 3w = 15 + 3 Combine like terms: 15 + 3 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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