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Simplifying 32 = 5(w + 7) + -8x Reorder the terms: 32 = 5(7 + w) + -8x 32 = (7 * 5 + w * 5) + -8x 32 = (35 + 5w) + -8x Solving 32 = 35 + 5w + -8x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + -5w = 35 + 5w + -5w + -8x Combine like terms: 5w + -5w = 0 32 + -5w = 35 + 0 + -8x 32 + -5w = 35 + -8x Add '-32' to each side of the equation. 32 + -32 + -5w = 35 + -32 + -8x Combine like terms: 32 + -32 = 0 0 + -5w = 35 + -32 + -8x -5w = 35 + -32 + -8x Combine like terms: 35 + -32 = 3 -5w = 3 + -8x Divide each side by '-5'. w = -0.6 + 1.6x Simplifying w = -0.6 + 1.6x
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