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Simplifying 5(z + 2) = 6z + -2 Reorder the terms: 5(2 + z) = 6z + -2 (2 * 5 + z * 5) = 6z + -2 (10 + 5z) = 6z + -2 Reorder the terms: 10 + 5z = -2 + 6z Solving 10 + 5z = -2 + 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. 10 + 5z + -6z = -2 + 6z + -6z Combine like terms: 5z + -6z = -1z 10 + -1z = -2 + 6z + -6z Combine like terms: 6z + -6z = 0 10 + -1z = -2 + 0 10 + -1z = -2 Add '-10' to each side of the equation. 10 + -10 + -1z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = -2 + -10 -1z = -2 + -10 Combine like terms: -2 + -10 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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