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Simplifying -21 + (-29z + -25) + -34z = -1(-12z + -35) + (-13z + -39) Reorder the terms: -21 + (-25 + -29z) + -34z = -1(-12z + -35) + (-13z + -39) Remove parenthesis around (-25 + -29z) -21 + -25 + -29z + -34z = -1(-12z + -35) + (-13z + -39) Combine like terms: -21 + -25 = -46 -46 + -29z + -34z = -1(-12z + -35) + (-13z + -39) Combine like terms: -29z + -34z = -63z -46 + -63z = -1(-12z + -35) + (-13z + -39) Reorder the terms: -46 + -63z = -1(-35 + -12z) + (-13z + -39) -46 + -63z = (-35 * -1 + -12z * -1) + (-13z + -39) -46 + -63z = (35 + 12z) + (-13z + -39) Reorder the terms: -46 + -63z = 35 + 12z + (-39 + -13z) Remove parenthesis around (-39 + -13z) -46 + -63z = 35 + 12z + -39 + -13z Reorder the terms: -46 + -63z = 35 + -39 + 12z + -13z Combine like terms: 35 + -39 = -4 -46 + -63z = -4 + 12z + -13z Combine like terms: 12z + -13z = -1z -46 + -63z = -4 + -1z Solving -46 + -63z = -4 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -46 + -63z + z = -4 + -1z + z Combine like terms: -63z + z = -62z -46 + -62z = -4 + -1z + z Combine like terms: -1z + z = 0 -46 + -62z = -4 + 0 -46 + -62z = -4 Add '46' to each side of the equation. -46 + 46 + -62z = -4 + 46 Combine like terms: -46 + 46 = 0 0 + -62z = -4 + 46 -62z = -4 + 46 Combine like terms: -4 + 46 = 42 -62z = 42 Divide each side by '-62'. z = -0.6774193548 Simplifying z = -0.6774193548
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