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Simplifying -6z + -10(2z + 3) = 2(7z + 5) Reorder the terms: -6z + -10(3 + 2z) = 2(7z + 5) -6z + (3 * -10 + 2z * -10) = 2(7z + 5) -6z + (-30 + -20z) = 2(7z + 5) Reorder the terms: -30 + -6z + -20z = 2(7z + 5) Combine like terms: -6z + -20z = -26z -30 + -26z = 2(7z + 5) Reorder the terms: -30 + -26z = 2(5 + 7z) -30 + -26z = (5 * 2 + 7z * 2) -30 + -26z = (10 + 14z) Solving -30 + -26z = 10 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -30 + -26z + -14z = 10 + 14z + -14z Combine like terms: -26z + -14z = -40z -30 + -40z = 10 + 14z + -14z Combine like terms: 14z + -14z = 0 -30 + -40z = 10 + 0 -30 + -40z = 10 Add '30' to each side of the equation. -30 + 30 + -40z = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -40z = 10 + 30 -40z = 10 + 30 Combine like terms: 10 + 30 = 40 -40z = 40 Divide each side by '-40'. z = -1 Simplifying z = -1
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