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Simplifying 5z + 3(-32 + -8) = 12 + 18z Combine like terms: -32 + -8 = -40 5z + 3(-40) = 12 + 18z Multiply 3 * -40 5z + -120 = 12 + 18z Reorder the terms: -120 + 5z = 12 + 18z Solving -120 + 5z = 12 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -120 + 5z + -18z = 12 + 18z + -18z Combine like terms: 5z + -18z = -13z -120 + -13z = 12 + 18z + -18z Combine like terms: 18z + -18z = 0 -120 + -13z = 12 + 0 -120 + -13z = 12 Add '120' to each side of the equation. -120 + 120 + -13z = 12 + 120 Combine like terms: -120 + 120 = 0 0 + -13z = 12 + 120 -13z = 12 + 120 Combine like terms: 12 + 120 = 132 -13z = 132 Divide each side by '-13'. z = -10.15384615 Simplifying z = -10.15384615
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