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Simplifying 13(z + -2) + -11(z + 3) = 57 Reorder the terms: 13(-2 + z) + -11(z + 3) = 57 (-2 * 13 + z * 13) + -11(z + 3) = 57 (-26 + 13z) + -11(z + 3) = 57 Reorder the terms: -26 + 13z + -11(3 + z) = 57 -26 + 13z + (3 * -11 + z * -11) = 57 -26 + 13z + (-33 + -11z) = 57 Reorder the terms: -26 + -33 + 13z + -11z = 57 Combine like terms: -26 + -33 = -59 -59 + 13z + -11z = 57 Combine like terms: 13z + -11z = 2z -59 + 2z = 57 Solving -59 + 2z = 57 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 2z = 57 + 59 Combine like terms: -59 + 59 = 0 0 + 2z = 57 + 59 2z = 57 + 59 Combine like terms: 57 + 59 = 116 2z = 116 Divide each side by '2'. z = 58 Simplifying z = 58
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