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Simplifying 20 = -4(z + 6) + 14 Reorder the terms: 20 = -4(6 + z) + 14 20 = (6 * -4 + z * -4) + 14 20 = (-24 + -4z) + 14 Reorder the terms: 20 = -24 + 14 + -4z Combine like terms: -24 + 14 = -10 20 = -10 + -4z Solving 20 = -10 + -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. 20 + 4z = -10 + -4z + 4z Combine like terms: -4z + 4z = 0 20 + 4z = -10 + 0 20 + 4z = -10 Add '-20' to each side of the equation. 20 + -20 + 4z = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 4z = -10 + -20 4z = -10 + -20 Combine like terms: -10 + -20 = -30 4z = -30 Divide each side by '4'. z = -7.5 Simplifying z = -7.5
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