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Simplifying 5(w + 4z) + -5(w + 3) = 8 (w * 5 + 4z * 5) + -5(w + 3) = 8 (5w + 20z) + -5(w + 3) = 8 Reorder the terms: 5w + 20z + -5(3 + w) = 8 5w + 20z + (3 * -5 + w * -5) = 8 5w + 20z + (-15 + -5w) = 8 Reorder the terms: -15 + 5w + -5w + 20z = 8 Combine like terms: 5w + -5w = 0 -15 + 0 + 20z = 8 -15 + 20z = 8 Solving -15 + 20z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 20z = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 20z = 8 + 15 20z = 8 + 15 Combine like terms: 8 + 15 = 23 20z = 23 Divide each side by '20'. z = 1.15 Simplifying z = 1.15
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