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Simplifying 2w + -3(3w + 5) = 3w + 5 Reorder the terms: 2w + -3(5 + 3w) = 3w + 5 2w + (5 * -3 + 3w * -3) = 3w + 5 2w + (-15 + -9w) = 3w + 5 Reorder the terms: -15 + 2w + -9w = 3w + 5 Combine like terms: 2w + -9w = -7w -15 + -7w = 3w + 5 Reorder the terms: -15 + -7w = 5 + 3w Solving -15 + -7w = 5 + 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. -15 + -7w + -3w = 5 + 3w + -3w Combine like terms: -7w + -3w = -10w -15 + -10w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -10w = 5 + 0 -15 + -10w = 5 Add '15' to each side of the equation. -15 + 15 + -10w = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -10w = 5 + 15 -10w = 5 + 15 Combine like terms: 5 + 15 = 20 -10w = 20 Divide each side by '-10'. w = -2 Simplifying w = -2
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