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Simplifying 4z + -3 + -7(z + 1) = 6z Reorder the terms: 4z + -3 + -7(1 + z) = 6z 4z + -3 + (1 * -7 + z * -7) = 6z 4z + -3 + (-7 + -7z) = 6z Reorder the terms: -3 + -7 + 4z + -7z = 6z Combine like terms: -3 + -7 = -10 -10 + 4z + -7z = 6z Combine like terms: 4z + -7z = -3z -10 + -3z = 6z Solving -10 + -3z = 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. -10 + -3z + -6z = 6z + -6z Combine like terms: -3z + -6z = -9z -10 + -9z = 6z + -6z Combine like terms: 6z + -6z = 0 -10 + -9z = 0 Add '10' to each side of the equation. -10 + 10 + -9z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9z = 0 + 10 -9z = 0 + 10 Combine like terms: 0 + 10 = 10 -9z = 10 Divide each side by '-9'. z = -1.111111111 Simplifying z = -1.111111111
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