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Simplifying 3z + -6 = 4z + 1 Reorder the terms: -6 + 3z = 4z + 1 Reorder the terms: -6 + 3z = 1 + 4z Solving -6 + 3z = 1 + 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. -6 + 3z + -4z = 1 + 4z + -4z Combine like terms: 3z + -4z = -1z -6 + -1z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + -1z = 1 + 0 -6 + -1z = 1 Add '6' to each side of the equation. -6 + 6 + -1z = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = 1 + 6 -1z = 1 + 6 Combine like terms: 1 + 6 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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