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Simplifying 7(z + 5) + -1(4z + -6) = 2z Reorder the terms: 7(5 + z) + -1(4z + -6) = 2z (5 * 7 + z * 7) + -1(4z + -6) = 2z (35 + 7z) + -1(4z + -6) = 2z Reorder the terms: 35 + 7z + -1(-6 + 4z) = 2z 35 + 7z + (-6 * -1 + 4z * -1) = 2z 35 + 7z + (6 + -4z) = 2z Reorder the terms: 35 + 6 + 7z + -4z = 2z Combine like terms: 35 + 6 = 41 41 + 7z + -4z = 2z Combine like terms: 7z + -4z = 3z 41 + 3z = 2z Solving 41 + 3z = 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. 41 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 41 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 41 + 1z = 0 Add '-41' to each side of the equation. 41 + -41 + 1z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1z = 0 + -41 1z = 0 + -41 Combine like terms: 0 + -41 = -41 1z = -41 Divide each side by '1'. z = -41 Simplifying z = -41
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