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Simplifying 10 + -1z = 6(z + 5) Reorder the terms: 10 + -1z = 6(5 + z) 10 + -1z = (5 * 6 + z * 6) 10 + -1z = (30 + 6z) Solving 10 + -1z = 30 + 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. 10 + -1z + -6z = 30 + 6z + -6z Combine like terms: -1z + -6z = -7z 10 + -7z = 30 + 6z + -6z Combine like terms: 6z + -6z = 0 10 + -7z = 30 + 0 10 + -7z = 30 Add '-10' to each side of the equation. 10 + -10 + -7z = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -7z = 30 + -10 -7z = 30 + -10 Combine like terms: 30 + -10 = 20 -7z = 20 Divide each side by '-7'. z = -2.857142857 Simplifying z = -2.857142857
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