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Simplifying 5(2z + -4) = -15 + -7z Reorder the terms: 5(-4 + 2z) = -15 + -7z (-4 * 5 + 2z * 5) = -15 + -7z (-20 + 10z) = -15 + -7z Solving -20 + 10z = -15 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -20 + 10z + 7z = -15 + -7z + 7z Combine like terms: 10z + 7z = 17z -20 + 17z = -15 + -7z + 7z Combine like terms: -7z + 7z = 0 -20 + 17z = -15 + 0 -20 + 17z = -15 Add '20' to each side of the equation. -20 + 20 + 17z = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 17z = -15 + 20 17z = -15 + 20 Combine like terms: -15 + 20 = 5 17z = 5 Divide each side by '17'. z = 0.2941176471 Simplifying z = 0.2941176471
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