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Simplifying 3w + -6 + 4w = 5(2w + 3) Reorder the terms: -6 + 3w + 4w = 5(2w + 3) Combine like terms: 3w + 4w = 7w -6 + 7w = 5(2w + 3) Reorder the terms: -6 + 7w = 5(3 + 2w) -6 + 7w = (3 * 5 + 2w * 5) -6 + 7w = (15 + 10w) Solving -6 + 7w = 15 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -6 + 7w + -10w = 15 + 10w + -10w Combine like terms: 7w + -10w = -3w -6 + -3w = 15 + 10w + -10w Combine like terms: 10w + -10w = 0 -6 + -3w = 15 + 0 -6 + -3w = 15 Add '6' to each side of the equation. -6 + 6 + -3w = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 15 + 6 -3w = 15 + 6 Combine like terms: 15 + 6 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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