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Simplifying 6(z + 2) = 4(z + 1) + -10 Reorder the terms: 6(2 + z) = 4(z + 1) + -10 (2 * 6 + z * 6) = 4(z + 1) + -10 (12 + 6z) = 4(z + 1) + -10 Reorder the terms: 12 + 6z = 4(1 + z) + -10 12 + 6z = (1 * 4 + z * 4) + -10 12 + 6z = (4 + 4z) + -10 Reorder the terms: 12 + 6z = 4 + -10 + 4z Combine like terms: 4 + -10 = -6 12 + 6z = -6 + 4z Solving 12 + 6z = -6 + 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 = -6 + 4z + -4z Combine like terms: 6z + -4z = 2z 12 + 2z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 2z = -6 + 0 12 + 2z = -6 Add '-12' to each side of the equation. 12 + -12 + 2z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -6 + -12 2z = -6 + -12 Combine like terms: -6 + -12 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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