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Simplifying 10 + -1(3z + -4) = 2 + -4z Reorder the terms: 10 + -1(-4 + 3z) = 2 + -4z 10 + (-4 * -1 + 3z * -1) = 2 + -4z 10 + (4 + -3z) = 2 + -4z Combine like terms: 10 + 4 = 14 14 + -3z = 2 + -4z Solving 14 + -3z = 2 + -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. 14 + -3z + 4z = 2 + -4z + 4z Combine like terms: -3z + 4z = 1z 14 + 1z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 14 + 1z = 2 + 0 14 + 1z = 2 Add '-14' to each side of the equation. 14 + -14 + 1z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 2 + -14 1z = 2 + -14 Combine like terms: 2 + -14 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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