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Simplifying 4w + 15 = 10w + -21 Reorder the terms: 15 + 4w = 10w + -21 Reorder the terms: 15 + 4w = -21 + 10w Solving 15 + 4w = -21 + 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. 15 + 4w + -10w = -21 + 10w + -10w Combine like terms: 4w + -10w = -6w 15 + -6w = -21 + 10w + -10w Combine like terms: 10w + -10w = 0 15 + -6w = -21 + 0 15 + -6w = -21 Add '-15' to each side of the equation. 15 + -15 + -6w = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -6w = -21 + -15 -6w = -21 + -15 Combine like terms: -21 + -15 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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