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