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Simplifying 5(7z + 4) = 28 + -2z Reorder the terms: 5(4 + 7z) = 28 + -2z (4 * 5 + 7z * 5) = 28 + -2z (20 + 35z) = 28 + -2z Solving 20 + 35z = 28 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 20 + 35z + 2z = 28 + -2z + 2z Combine like terms: 35z + 2z = 37z 20 + 37z = 28 + -2z + 2z Combine like terms: -2z + 2z = 0 20 + 37z = 28 + 0 20 + 37z = 28 Add '-20' to each side of the equation. 20 + -20 + 37z = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 37z = 28 + -20 37z = 28 + -20 Combine like terms: 28 + -20 = 8 37z = 8 Divide each side by '37'. z = 0.2162162162 Simplifying z = 0.2162162162
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