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Simplifying 6 = 3z + 3(2 + -6) Combine like terms: 2 + -6 = -4 6 = 3z + 3(-4) Multiply 3 * -4 6 = 3z + -12 Reorder the terms: 6 = -12 + 3z Solving 6 = -12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 6 + -3z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + -3z = -12 + 0 6 + -3z = -12 Add '-6' to each side of the equation. 6 + -6 + -3z = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = -12 + -6 -3z = -12 + -6 Combine like terms: -12 + -6 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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