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Simplifying 24w + 7 = w + 3 + -24 Reorder the terms: 7 + 24w = w + 3 + -24 Reorder the terms: 7 + 24w = 3 + -24 + w Combine like terms: 3 + -24 = -21 7 + 24w = -21 + w Solving 7 + 24w = -21 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7 + 24w + -1w = -21 + w + -1w Combine like terms: 24w + -1w = 23w 7 + 23w = -21 + w + -1w Combine like terms: w + -1w = 0 7 + 23w = -21 + 0 7 + 23w = -21 Add '-7' to each side of the equation. 7 + -7 + 23w = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 23w = -21 + -7 23w = -21 + -7 Combine like terms: -21 + -7 = -28 23w = -28 Divide each side by '23'. w = -1.217391304 Simplifying w = -1.217391304
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