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Simplifying 6(z + 2) = 2z + 40 Reorder the terms: 6(2 + z) = 2z + 40 (2 * 6 + z * 6) = 2z + 40 (12 + 6z) = 2z + 40 Reorder the terms: 12 + 6z = 40 + 2z Solving 12 + 6z = 40 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 12 + 6z + -2z = 40 + 2z + -2z Combine like terms: 6z + -2z = 4z 12 + 4z = 40 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 4z = 40 + 0 12 + 4z = 40 Add '-12' to each side of the equation. 12 + -12 + 4z = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = 40 + -12 4z = 40 + -12 Combine like terms: 40 + -12 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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