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Simplifying (3z + -1) + -1(z + 2) = 15 Reorder the terms: (-1 + 3z) + -1(z + 2) = 15 Remove parenthesis around (-1 + 3z) -1 + 3z + -1(z + 2) = 15 Reorder the terms: -1 + 3z + -1(2 + z) = 15 -1 + 3z + (2 * -1 + z * -1) = 15 -1 + 3z + (-2 + -1z) = 15 Reorder the terms: -1 + -2 + 3z + -1z = 15 Combine like terms: -1 + -2 = -3 -3 + 3z + -1z = 15 Combine like terms: 3z + -1z = 2z -3 + 2z = 15 Solving -3 + 2z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2z = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 15 + 3 2z = 15 + 3 Combine like terms: 15 + 3 = 18 2z = 18 Divide each side by '2'. z = 9 Simplifying z = 9
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