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Simplifying 5z + -3(z + -6) = 4 + 3z Reorder the terms: 5z + -3(-6 + z) = 4 + 3z 5z + (-6 * -3 + z * -3) = 4 + 3z 5z + (18 + -3z) = 4 + 3z Reorder the terms: 18 + 5z + -3z = 4 + 3z Combine like terms: 5z + -3z = 2z 18 + 2z = 4 + 3z Solving 18 + 2z = 4 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 18 + 2z + -3z = 4 + 3z + -3z Combine like terms: 2z + -3z = -1z 18 + -1z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 18 + -1z = 4 + 0 18 + -1z = 4 Add '-18' to each side of the equation. 18 + -18 + -1z = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 4 + -18 -1z = 4 + -18 Combine like terms: 4 + -18 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14
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