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Simplifying 5w + -4(6w + 14) = 1 Reorder the terms: 5w + -4(14 + 6w) = 1 5w + (14 * -4 + 6w * -4) = 1 5w + (-56 + -24w) = 1 Reorder the terms: -56 + 5w + -24w = 1 Combine like terms: 5w + -24w = -19w -56 + -19w = 1 Solving -56 + -19w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -19w = 1 + 56 Combine like terms: -56 + 56 = 0 0 + -19w = 1 + 56 -19w = 1 + 56 Combine like terms: 1 + 56 = 57 -19w = 57 Divide each side by '-19'. w = -3 Simplifying w = -3
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