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Simplifying 30 = 21 + -1(3 + -4z) 30 = 21 + (3 * -1 + -4z * -1) 30 = 21 + (-3 + 4z) Combine like terms: 21 + -3 = 18 30 = 18 + 4z Solving 30 = 18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 30 + -4z = 18 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -4z = 18 + 0 30 + -4z = 18 Add '-30' to each side of the equation. 30 + -30 + -4z = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -4z = 18 + -30 -4z = 18 + -30 Combine like terms: 18 + -30 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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