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Simplifying 7 + -72z = 7z + -1(z + -1) Reorder the terms: 7 + -72z = 7z + -1(-1 + z) 7 + -72z = 7z + (-1 * -1 + z * -1) 7 + -72z = 7z + (1 + -1z) Reorder the terms: 7 + -72z = 1 + 7z + -1z Combine like terms: 7z + -1z = 6z 7 + -72z = 1 + 6z Solving 7 + -72z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + -72z + -6z = 1 + 6z + -6z Combine like terms: -72z + -6z = -78z 7 + -78z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -78z = 1 + 0 7 + -78z = 1 Add '-7' to each side of the equation. 7 + -7 + -78z = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -78z = 1 + -7 -78z = 1 + -7 Combine like terms: 1 + -7 = -6 -78z = -6 Divide each side by '-78'. z = 0.07692307692 Simplifying z = 0.07692307692
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