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Simplifying 6(z + 2) = 4(z + 1) + -6 Reorder the terms: 6(2 + z) = 4(z + 1) + -6 (2 * 6 + z * 6) = 4(z + 1) + -6 (12 + 6z) = 4(z + 1) + -6 Reorder the terms: 12 + 6z = 4(1 + z) + -6 12 + 6z = (1 * 4 + z * 4) + -6 12 + 6z = (4 + 4z) + -6 Reorder the terms: 12 + 6z = 4 + -6 + 4z Combine like terms: 4 + -6 = -2 12 + 6z = -2 + 4z Solving 12 + 6z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + 6z + -4z = -2 + 4z + -4z Combine like terms: 6z + -4z = 2z 12 + 2z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 2z = -2 + 0 12 + 2z = -2 Add '-12' to each side of the equation. 12 + -12 + 2z = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -2 + -12 2z = -2 + -12 Combine like terms: -2 + -12 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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