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Simplifying 2(z + 1) = 6z + -46 Reorder the terms: 2(1 + z) = 6z + -46 (1 * 2 + z * 2) = 6z + -46 (2 + 2z) = 6z + -46 Reorder the terms: 2 + 2z = -46 + 6z Solving 2 + 2z = -46 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 2z + -6z = -46 + 6z + -6z Combine like terms: 2z + -6z = -4z 2 + -4z = -46 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + -4z = -46 + 0 2 + -4z = -46 Add '-2' to each side of the equation. 2 + -2 + -4z = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = -46 + -2 -4z = -46 + -2 Combine like terms: -46 + -2 = -48 -4z = -48 Divide each side by '-4'. z = 12 Simplifying z = 12
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