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Simplifying 7 = 10(z + -5) Reorder the terms: 7 = 10(-5 + z) 7 = (-5 * 10 + z * 10) 7 = (-50 + 10z) Solving 7 = -50 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 7 + -10z = -50 + 10z + -10z Combine like terms: 10z + -10z = 0 7 + -10z = -50 + 0 7 + -10z = -50 Add '-7' to each side of the equation. 7 + -7 + -10z = -50 + -7 Combine like terms: 7 + -7 = 0 0 + -10z = -50 + -7 -10z = -50 + -7 Combine like terms: -50 + -7 = -57 -10z = -57 Divide each side by '-10'. z = 5.7 Simplifying z = 5.7
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