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Simplifying 5 + -3z + 3(3 + -5z) = 12 5 + -3z + (3 * 3 + -5z * 3) = 12 5 + -3z + (9 + -15z) = 12 Reorder the terms: 5 + 9 + -3z + -15z = 12 Combine like terms: 5 + 9 = 14 14 + -3z + -15z = 12 Combine like terms: -3z + -15z = -18z 14 + -18z = 12 Solving 14 + -18z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -18z = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -18z = 12 + -14 -18z = 12 + -14 Combine like terms: 12 + -14 = -2 -18z = -2 Divide each side by '-18'. z = 0.1111111111 Simplifying z = 0.1111111111
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