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Simplifying 5(z + 11) + 1 = 9z + -4 Reorder the terms: 5(11 + z) + 1 = 9z + -4 (11 * 5 + z * 5) + 1 = 9z + -4 (55 + 5z) + 1 = 9z + -4 Reorder the terms: 55 + 1 + 5z = 9z + -4 Combine like terms: 55 + 1 = 56 56 + 5z = 9z + -4 Reorder the terms: 56 + 5z = -4 + 9z Solving 56 + 5z = -4 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 56 + 5z + -9z = -4 + 9z + -9z Combine like terms: 5z + -9z = -4z 56 + -4z = -4 + 9z + -9z Combine like terms: 9z + -9z = 0 56 + -4z = -4 + 0 56 + -4z = -4 Add '-56' to each side of the equation. 56 + -56 + -4z = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -4z = -4 + -56 -4z = -4 + -56 Combine like terms: -4 + -56 = -60 -4z = -60 Divide each side by '-4'. z = 15 Simplifying z = 15
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