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Simplifying 4 + -3z + -4(z + -20) = z + 12 Reorder the terms: 4 + -3z + -4(-20 + z) = z + 12 4 + -3z + (-20 * -4 + z * -4) = z + 12 4 + -3z + (80 + -4z) = z + 12 Reorder the terms: 4 + 80 + -3z + -4z = z + 12 Combine like terms: 4 + 80 = 84 84 + -3z + -4z = z + 12 Combine like terms: -3z + -4z = -7z 84 + -7z = z + 12 Reorder the terms: 84 + -7z = 12 + z Solving 84 + -7z = 12 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 84 + -7z + -1z = 12 + z + -1z Combine like terms: -7z + -1z = -8z 84 + -8z = 12 + z + -1z Combine like terms: z + -1z = 0 84 + -8z = 12 + 0 84 + -8z = 12 Add '-84' to each side of the equation. 84 + -84 + -8z = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -8z = 12 + -84 -8z = 12 + -84 Combine like terms: 12 + -84 = -72 -8z = -72 Divide each side by '-8'. z = 9 Simplifying z = 9
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