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Simplifying 3z + -9 = 4z + -7 Reorder the terms: -9 + 3z = 4z + -7 Reorder the terms: -9 + 3z = -7 + 4z Solving -9 + 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. -9 + 3z + -4z = -7 + 4z + -4z Combine like terms: 3z + -4z = -1z -9 + -1z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 -9 + -1z = -7 + 0 -9 + -1z = -7 Add '9' to each side of the equation. -9 + 9 + -1z = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -7 + 9 -1z = -7 + 9 Combine like terms: -7 + 9 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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