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Simplifying 15 + -5w + 2w = -2(-3w + 2) + 19 Combine like terms: -5w + 2w = -3w 15 + -3w = -2(-3w + 2) + 19 Reorder the terms: 15 + -3w = -2(2 + -3w) + 19 15 + -3w = (2 * -2 + -3w * -2) + 19 15 + -3w = (-4 + 6w) + 19 Reorder the terms: 15 + -3w = -4 + 19 + 6w Combine like terms: -4 + 19 = 15 15 + -3w = 15 + 6w Add '-15' to each side of the equation. 15 + -15 + -3w = 15 + -15 + 6w Combine like terms: 15 + -15 = 0 0 + -3w = 15 + -15 + 6w -3w = 15 + -15 + 6w Combine like terms: 15 + -15 = 0 -3w = 0 + 6w -3w = 6w Solving -3w = 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. -3w + -6w = 6w + -6w Combine like terms: -3w + -6w = -9w -9w = 6w + -6w Combine like terms: 6w + -6w = 0 -9w = 0 Divide each side by '-9'. w = 0 Simplifying w = 0
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