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Simplifying 4z + -3 = 6z + 7 Reorder the terms: -3 + 4z = 6z + 7 Reorder the terms: -3 + 4z = 7 + 6z Solving -3 + 4z = 7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -3 + 4z + -6z = 7 + 6z + -6z Combine like terms: 4z + -6z = -2z -3 + -2z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 -3 + -2z = 7 + 0 -3 + -2z = 7 Add '3' to each side of the equation. -3 + 3 + -2z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = 7 + 3 -2z = 7 + 3 Combine like terms: 7 + 3 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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