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Simplifying 7w + -6 = 3(w + 5) Reorder the terms: -6 + 7w = 3(w + 5) Reorder the terms: -6 + 7w = 3(5 + w) -6 + 7w = (5 * 3 + w * 3) -6 + 7w = (15 + 3w) Solving -6 + 7w = 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. -6 + 7w + -3w = 15 + 3w + -3w Combine like terms: 7w + -3w = 4w -6 + 4w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + 4w = 15 + 0 -6 + 4w = 15 Add '6' to each side of the equation. -6 + 6 + 4w = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 4w = 15 + 6 4w = 15 + 6 Combine like terms: 15 + 6 = 21 4w = 21 Divide each side by '4'. w = 5.25 Simplifying w = 5.25
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