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Simplifying 24w + -22 = 4(1 + -6w) Reorder the terms: -22 + 24w = 4(1 + -6w) -22 + 24w = (1 * 4 + -6w * 4) -22 + 24w = (4 + -24w) Solving -22 + 24w = 4 + -24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24w' to each side of the equation. -22 + 24w + 24w = 4 + -24w + 24w Combine like terms: 24w + 24w = 48w -22 + 48w = 4 + -24w + 24w Combine like terms: -24w + 24w = 0 -22 + 48w = 4 + 0 -22 + 48w = 4 Add '22' to each side of the equation. -22 + 22 + 48w = 4 + 22 Combine like terms: -22 + 22 = 0 0 + 48w = 4 + 22 48w = 4 + 22 Combine like terms: 4 + 22 = 26 48w = 26 Divide each side by '48'. w = 0.5416666667 Simplifying w = 0.5416666667
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