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Simplifying 5(2z + -1) + -3(z + 7) = 2(z + 1) Reorder the terms: 5(-1 + 2z) + -3(z + 7) = 2(z + 1) (-1 * 5 + 2z * 5) + -3(z + 7) = 2(z + 1) (-5 + 10z) + -3(z + 7) = 2(z + 1) Reorder the terms: -5 + 10z + -3(7 + z) = 2(z + 1) -5 + 10z + (7 * -3 + z * -3) = 2(z + 1) -5 + 10z + (-21 + -3z) = 2(z + 1) Reorder the terms: -5 + -21 + 10z + -3z = 2(z + 1) Combine like terms: -5 + -21 = -26 -26 + 10z + -3z = 2(z + 1) Combine like terms: 10z + -3z = 7z -26 + 7z = 2(z + 1) Reorder the terms: -26 + 7z = 2(1 + z) -26 + 7z = (1 * 2 + z * 2) -26 + 7z = (2 + 2z) Solving -26 + 7z = 2 + 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. -26 + 7z + -2z = 2 + 2z + -2z Combine like terms: 7z + -2z = 5z -26 + 5z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -26 + 5z = 2 + 0 -26 + 5z = 2 Add '26' to each side of the equation. -26 + 26 + 5z = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 5z = 2 + 26 5z = 2 + 26 Combine like terms: 2 + 26 = 28 5z = 28 Divide each side by '5'. z = 5.6 Simplifying z = 5.6
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