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Simplifying 9(z + 7) = 6(2z + 1) Reorder the terms: 9(7 + z) = 6(2z + 1) (7 * 9 + z * 9) = 6(2z + 1) (63 + 9z) = 6(2z + 1) Reorder the terms: 63 + 9z = 6(1 + 2z) 63 + 9z = (1 * 6 + 2z * 6) 63 + 9z = (6 + 12z) Solving 63 + 9z = 6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 63 + 9z + -12z = 6 + 12z + -12z Combine like terms: 9z + -12z = -3z 63 + -3z = 6 + 12z + -12z Combine like terms: 12z + -12z = 0 63 + -3z = 6 + 0 63 + -3z = 6 Add '-63' to each side of the equation. 63 + -63 + -3z = 6 + -63 Combine like terms: 63 + -63 = 0 0 + -3z = 6 + -63 -3z = 6 + -63 Combine like terms: 6 + -63 = -57 -3z = -57 Divide each side by '-3'. z = 19 Simplifying z = 19
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