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