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Simplifying -13z + 37 + -22z + -12z + -38z = 23z + 36z + -15 Reorder the terms: 37 + -13z + -22z + -12z + -38z = 23z + 36z + -15 Combine like terms: -13z + -22z = -35z 37 + -35z + -12z + -38z = 23z + 36z + -15 Combine like terms: -35z + -12z = -47z 37 + -47z + -38z = 23z + 36z + -15 Combine like terms: -47z + -38z = -85z 37 + -85z = 23z + 36z + -15 Reorder the terms: 37 + -85z = -15 + 23z + 36z Combine like terms: 23z + 36z = 59z 37 + -85z = -15 + 59z Solving 37 + -85z = -15 + 59z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-59z' to each side of the equation. 37 + -85z + -59z = -15 + 59z + -59z Combine like terms: -85z + -59z = -144z 37 + -144z = -15 + 59z + -59z Combine like terms: 59z + -59z = 0 37 + -144z = -15 + 0 37 + -144z = -15 Add '-37' to each side of the equation. 37 + -37 + -144z = -15 + -37 Combine like terms: 37 + -37 = 0 0 + -144z = -15 + -37 -144z = -15 + -37 Combine like terms: -15 + -37 = -52 -144z = -52 Divide each side by '-144'. z = 0.3611111111 Simplifying z = 0.3611111111
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