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Simplifying 5z + 3(z + -2) = 6z + -12 Reorder the terms: 5z + 3(-2 + z) = 6z + -12 5z + (-2 * 3 + z * 3) = 6z + -12 5z + (-6 + 3z) = 6z + -12 Reorder the terms: -6 + 5z + 3z = 6z + -12 Combine like terms: 5z + 3z = 8z -6 + 8z = 6z + -12 Reorder the terms: -6 + 8z = -12 + 6z Solving -6 + 8z = -12 + 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. -6 + 8z + -6z = -12 + 6z + -6z Combine like terms: 8z + -6z = 2z -6 + 2z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + 2z = -12 + 0 -6 + 2z = -12 Add '6' to each side of the equation. -6 + 6 + 2z = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = -12 + 6 2z = -12 + 6 Combine like terms: -12 + 6 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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