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Simplifying 3(z + 7) + -1(7z + -5) = -5z Reorder the terms: 3(7 + z) + -1(7z + -5) = -5z (7 * 3 + z * 3) + -1(7z + -5) = -5z (21 + 3z) + -1(7z + -5) = -5z Reorder the terms: 21 + 3z + -1(-5 + 7z) = -5z 21 + 3z + (-5 * -1 + 7z * -1) = -5z 21 + 3z + (5 + -7z) = -5z Reorder the terms: 21 + 5 + 3z + -7z = -5z Combine like terms: 21 + 5 = 26 26 + 3z + -7z = -5z Combine like terms: 3z + -7z = -4z 26 + -4z = -5z Solving 26 + -4z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 26 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 26 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 26 + 1z = 0 Add '-26' to each side of the equation. 26 + -26 + 1z = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 1z = 0 + -26 1z = 0 + -26 Combine like terms: 0 + -26 = -26 1z = -26 Divide each side by '1'. z = -26 Simplifying z = -26
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