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Simplifying 3z + -1 = 4z + 6 Reorder the terms: -1 + 3z = 4z + 6 Reorder the terms: -1 + 3z = 6 + 4z Solving -1 + 3z = 6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -1 + 3z + -4z = 6 + 4z + -4z Combine like terms: 3z + -4z = -1z -1 + -1z = 6 + 4z + -4z Combine like terms: 4z + -4z = 0 -1 + -1z = 6 + 0 -1 + -1z = 6 Add '1' to each side of the equation. -1 + 1 + -1z = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = 6 + 1 -1z = 6 + 1 Combine like terms: 6 + 1 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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