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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 = 42 42 + 7z = 6z + 1 Reorder the terms: 42 + 7z = 1 + 6z Solving 42 + 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. 42 + 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 42 + 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 42 + 1z = 1 + 0 42 + 1z = 1 Add '-42' to each side of the equation. 42 + -42 + 1z = 1 + -42 Combine like terms: 42 + -42 = 0 0 + 1z = 1 + -42 1z = 1 + -42 Combine like terms: 1 + -42 = -41 1z = -41 Divide each side by '1'. z = -41 Simplifying z = -41
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