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Simplifying 5(z + 3) = 6z + -1 Reorder the terms: 5(3 + z) = 6z + -1 (3 * 5 + z * 5) = 6z + -1 (15 + 5z) = 6z + -1 Reorder the terms: 15 + 5z = -1 + 6z Solving 15 + 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. 15 + 5z + -6z = -1 + 6z + -6z Combine like terms: 5z + -6z = -1z 15 + -1z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 15 + -1z = -1 + 0 15 + -1z = -1 Add '-15' to each side of the equation. 15 + -15 + -1z = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = -1 + -15 -1z = -1 + -15 Combine like terms: -1 + -15 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16
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