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Simplifying 3z + -4 = z + 6(5z + -1) Reorder the terms: -4 + 3z = z + 6(5z + -1) Reorder the terms: -4 + 3z = z + 6(-1 + 5z) -4 + 3z = z + (-1 * 6 + 5z * 6) -4 + 3z = z + (-6 + 30z) Reorder the terms: -4 + 3z = -6 + z + 30z Combine like terms: z + 30z = 31z -4 + 3z = -6 + 31z Solving -4 + 3z = -6 + 31z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-31z' to each side of the equation. -4 + 3z + -31z = -6 + 31z + -31z Combine like terms: 3z + -31z = -28z -4 + -28z = -6 + 31z + -31z Combine like terms: 31z + -31z = 0 -4 + -28z = -6 + 0 -4 + -28z = -6 Add '4' to each side of the equation. -4 + 4 + -28z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -28z = -6 + 4 -28z = -6 + 4 Combine like terms: -6 + 4 = -2 -28z = -2 Divide each side by '-28'. z = 0.07142857143 Simplifying z = 0.07142857143
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