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Simplifying 3(z + 6) = 4z + -1 Reorder the terms: 3(6 + z) = 4z + -1 (6 * 3 + z * 3) = 4z + -1 (18 + 3z) = 4z + -1 Reorder the terms: 18 + 3z = -1 + 4z Solving 18 + 3z = -1 + 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. 18 + 3z + -4z = -1 + 4z + -4z Combine like terms: 3z + -4z = -1z 18 + -1z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + -1z = -1 + 0 18 + -1z = -1 Add '-18' to each side of the equation. 18 + -18 + -1z = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = -1 + -18 -1z = -1 + -18 Combine like terms: -1 + -18 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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