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Simplifying 10 + -1(4z + -6) = 4 + -5z Reorder the terms: 10 + -1(-6 + 4z) = 4 + -5z 10 + (-6 * -1 + 4z * -1) = 4 + -5z 10 + (6 + -4z) = 4 + -5z Combine like terms: 10 + 6 = 16 16 + -4z = 4 + -5z Solving 16 + -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. 16 + -4z + 5z = 4 + -5z + 5z Combine like terms: -4z + 5z = 1z 16 + 1z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 16 + 1z = 4 + 0 16 + 1z = 4 Add '-16' to each side of the equation. 16 + -16 + 1z = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 4 + -16 1z = 4 + -16 Combine like terms: 4 + -16 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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