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Simplifying 3z + 1 = 4z + -7 Reorder the terms: 1 + 3z = 4z + -7 Reorder the terms: 1 + 3z = -7 + 4z Solving 1 + 3z = -7 + 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 = -7 + 4z + -4z Combine like terms: 3z + -4z = -1z 1 + -1z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -1z = -7 + 0 1 + -1z = -7 Add '-1' to each side of the equation. 1 + -1 + -1z = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = -7 + -1 -1z = -7 + -1 Combine like terms: -7 + -1 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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