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Simplifying 15 + -6w = 10w + -21 Reorder the terms: 15 + -6w = -21 + 10w Solving 15 + -6w = -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 + -6w + -10w = -21 + 10w + -10w Combine like terms: -6w + -10w = -16w 15 + -16w = -21 + 10w + -10w Combine like terms: 10w + -10w = 0 15 + -16w = -21 + 0 15 + -16w = -21 Add '-15' to each side of the equation. 15 + -15 + -16w = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -16w = -21 + -15 -16w = -21 + -15 Combine like terms: -21 + -15 = -36 -16w = -36 Divide each side by '-16'. w = 2.25 Simplifying w = 2.25
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