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Simplifying 6(z + 3) = 10(z + 1) Reorder the terms: 6(3 + z) = 10(z + 1) (3 * 6 + z * 6) = 10(z + 1) (18 + 6z) = 10(z + 1) Reorder the terms: 18 + 6z = 10(1 + z) 18 + 6z = (1 * 10 + z * 10) 18 + 6z = (10 + 10z) Solving 18 + 6z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 18 + 6z + -10z = 10 + 10z + -10z Combine like terms: 6z + -10z = -4z 18 + -4z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 18 + -4z = 10 + 0 18 + -4z = 10 Add '-18' to each side of the equation. 18 + -18 + -4z = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -4z = 10 + -18 -4z = 10 + -18 Combine like terms: 10 + -18 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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