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Simplifying 14 + 6(z + -4) = 4z + -8 Reorder the terms: 14 + 6(-4 + z) = 4z + -8 14 + (-4 * 6 + z * 6) = 4z + -8 14 + (-24 + 6z) = 4z + -8 Combine like terms: 14 + -24 = -10 -10 + 6z = 4z + -8 Reorder the terms: -10 + 6z = -8 + 4z Solving -10 + 6z = -8 + 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. -10 + 6z + -4z = -8 + 4z + -4z Combine like terms: 6z + -4z = 2z -10 + 2z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + 2z = -8 + 0 -10 + 2z = -8 Add '10' to each side of the equation. -10 + 10 + 2z = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = -8 + 10 2z = -8 + 10 Combine like terms: -8 + 10 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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