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Simplifying 5(18z + 18) = 6(-1 + 7z) Reorder the terms: 5(18 + 18z) = 6(-1 + 7z) (18 * 5 + 18z * 5) = 6(-1 + 7z) (90 + 90z) = 6(-1 + 7z) 90 + 90z = (-1 * 6 + 7z * 6) 90 + 90z = (-6 + 42z) Solving 90 + 90z = -6 + 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. 90 + 90z + -42z = -6 + 42z + -42z Combine like terms: 90z + -42z = 48z 90 + 48z = -6 + 42z + -42z Combine like terms: 42z + -42z = 0 90 + 48z = -6 + 0 90 + 48z = -6 Add '-90' to each side of the equation. 90 + -90 + 48z = -6 + -90 Combine like terms: 90 + -90 = 0 0 + 48z = -6 + -90 48z = -6 + -90 Combine like terms: -6 + -90 = -96 48z = -96 Divide each side by '48'. z = -2 Simplifying z = -2
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