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Simplifying 12 + 6(2 + -2) = 5z + 3 Combine like terms: 2 + -2 = 0 12 + 6(0) = 5z + 3 Multiply 6 * 0 12 + 0 = 5z + 3 Anything times zero is zero. 12 + 0 = 5z + 3 Combine like terms: 12 + 0 = 12 12 = 5z + 3 Reorder the terms: 12 = 3 + 5z Solving 12 = 3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12 + -5z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 12 + -5z = 3 + 0 12 + -5z = 3 Add '-12' to each side of the equation. 12 + -12 + -5z = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -5z = 3 + -12 -5z = 3 + -12 Combine like terms: 3 + -12 = -9 -5z = -9 Divide each side by '-5'. z = 1.8 Simplifying z = 1.8
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