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Simplifying 5(z + 4) = 6z + -1 Reorder the terms: 5(4 + z) = 6z + -1 (4 * 5 + z * 5) = 6z + -1 (20 + 5z) = 6z + -1 Reorder the terms: 20 + 5z = -1 + 6z Solving 20 + 5z = -1 + 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. 20 + 5z + -6z = -1 + 6z + -6z Combine like terms: 5z + -6z = -1z 20 + -1z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 20 + -1z = -1 + 0 20 + -1z = -1 Add '-20' to each side of the equation. 20 + -20 + -1z = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = -1 + -20 -1z = -1 + -20 Combine like terms: -1 + -20 = -21 -1z = -21 Divide each side by '-1'. z = 21 Simplifying z = 21
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