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Simplifying 4z + -1(8 + -3z) = 8z + -1 4z + (8 * -1 + -3z * -1) = 8z + -1 4z + (-8 + 3z) = 8z + -1 Reorder the terms: -8 + 4z + 3z = 8z + -1 Combine like terms: 4z + 3z = 7z -8 + 7z = 8z + -1 Reorder the terms: -8 + 7z = -1 + 8z Solving -8 + 7z = -1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -8 + 7z + -8z = -1 + 8z + -8z Combine like terms: 7z + -8z = -1z -8 + -1z = -1 + 8z + -8z Combine like terms: 8z + -8z = 0 -8 + -1z = -1 + 0 -8 + -1z = -1 Add '8' to each side of the equation. -8 + 8 + -1z = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -1 + 8 -1z = -1 + 8 Combine like terms: -1 + 8 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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