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Simplifying 35z + 282 + -168 = 362 + -54 + -6 + -1(-516) Reorder the terms: 282 + -168 + 35z = 362 + -54 + -6 + -1(-516) Combine like terms: 282 + -168 = 114 114 + 35z = 362 + -54 + -6 + -1(-516) Multiply -1 * -516 114 + 35z = 362 + -54 + -6 + 516 Combine like terms: 362 + -54 = 308 114 + 35z = 308 + -6 + 516 Combine like terms: 308 + -6 = 302 114 + 35z = 302 + 516 Combine like terms: 302 + 516 = 818 114 + 35z = 818 Solving 114 + 35z = 818 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 35z = 818 + -114 Combine like terms: 114 + -114 = 0 0 + 35z = 818 + -114 35z = 818 + -114 Combine like terms: 818 + -114 = 704 35z = 704 Divide each side by '35'. z = 20.11428571 Simplifying z = 20.11428571
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