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Simplifying 21 + 7(z + -3) = 6z + 1 Reorder the terms: 21 + 7(-3 + z) = 6z + 1 21 + (-3 * 7 + z * 7) = 6z + 1 21 + (-21 + 7z) = 6z + 1 Combine like terms: 21 + -21 = 0 0 + 7z = 6z + 1 7z = 6z + 1 Reorder the terms: 7z = 1 + 6z Solving 7z = 1 + 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. 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 1z = 1 + 0 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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