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Simplifying 6 + -1(4z + -3) = 4 + -5z Reorder the terms: 6 + -1(-3 + 4z) = 4 + -5z 6 + (-3 * -1 + 4z * -1) = 4 + -5z 6 + (3 + -4z) = 4 + -5z Combine like terms: 6 + 3 = 9 9 + -4z = 4 + -5z Solving 9 + -4z = 4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 9 + -4z + 5z = 4 + -5z + 5z Combine like terms: -4z + 5z = 1z 9 + 1z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 1z = 4 + 0 9 + 1z = 4 Add '-9' to each side of the equation. 9 + -9 + 1z = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 4 + -9 1z = 4 + -9 Combine like terms: 4 + -9 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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