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Simplifying 14z + -21 = 8(z + 3) Reorder the terms: -21 + 14z = 8(z + 3) Reorder the terms: -21 + 14z = 8(3 + z) -21 + 14z = (3 * 8 + z * 8) -21 + 14z = (24 + 8z) Solving -21 + 14z = 24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -21 + 14z + -8z = 24 + 8z + -8z Combine like terms: 14z + -8z = 6z -21 + 6z = 24 + 8z + -8z Combine like terms: 8z + -8z = 0 -21 + 6z = 24 + 0 -21 + 6z = 24 Add '21' to each side of the equation. -21 + 21 + 6z = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 6z = 24 + 21 6z = 24 + 21 Combine like terms: 24 + 21 = 45 6z = 45 Divide each side by '6'. z = 7.5 Simplifying z = 7.5
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