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Simplifying (21z + 15) + -1(7 + 13) = (9z + 35) + -1(z + 9) Reorder the terms: (15 + 21z) + -1(7 + 13) = (9z + 35) + -1(z + 9) Remove parenthesis around (15 + 21z) 15 + 21z + -1(7 + 13) = (9z + 35) + -1(z + 9) Combine like terms: 7 + 13 = 20 15 + 21z + -1(20) = (9z + 35) + -1(z + 9) Multiply -1 * 20 15 + 21z + -20 = (9z + 35) + -1(z + 9) Reorder the terms: 15 + -20 + 21z = (9z + 35) + -1(z + 9) Combine like terms: 15 + -20 = -5 -5 + 21z = (9z + 35) + -1(z + 9) Reorder the terms: -5 + 21z = (35 + 9z) + -1(z + 9) Remove parenthesis around (35 + 9z) -5 + 21z = 35 + 9z + -1(z + 9) Reorder the terms: -5 + 21z = 35 + 9z + -1(9 + z) -5 + 21z = 35 + 9z + (9 * -1 + z * -1) -5 + 21z = 35 + 9z + (-9 + -1z) Reorder the terms: -5 + 21z = 35 + -9 + 9z + -1z Combine like terms: 35 + -9 = 26 -5 + 21z = 26 + 9z + -1z Combine like terms: 9z + -1z = 8z -5 + 21z = 26 + 8z Solving -5 + 21z = 26 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -5 + 21z + -8z = 26 + 8z + -8z Combine like terms: 21z + -8z = 13z -5 + 13z = 26 + 8z + -8z Combine like terms: 8z + -8z = 0 -5 + 13z = 26 + 0 -5 + 13z = 26 Add '5' to each side of the equation. -5 + 5 + 13z = 26 + 5 Combine like terms: -5 + 5 = 0 0 + 13z = 26 + 5 13z = 26 + 5 Combine like terms: 26 + 5 = 31 13z = 31 Divide each side by '13'. z = 2.384615385 Simplifying z = 2.384615385
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