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Simplifying 11 + -1(z + 4) + -6z + 5 = z + -12 Reorder the terms: 11 + -1(4 + z) + -6z + 5 = z + -12 11 + (4 * -1 + z * -1) + -6z + 5 = z + -12 11 + (-4 + -1z) + -6z + 5 = z + -12 Reorder the terms: 11 + -4 + 5 + -1z + -6z = z + -12 Combine like terms: 11 + -4 = 7 7 + 5 + -1z + -6z = z + -12 Combine like terms: 7 + 5 = 12 12 + -1z + -6z = z + -12 Combine like terms: -1z + -6z = -7z 12 + -7z = z + -12 Reorder the terms: 12 + -7z = -12 + z Solving 12 + -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. 12 + -7z + -1z = -12 + z + -1z Combine like terms: -7z + -1z = -8z 12 + -8z = -12 + z + -1z Combine like terms: z + -1z = 0 12 + -8z = -12 + 0 12 + -8z = -12 Add '-12' to each side of the equation. 12 + -12 + -8z = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8z = -12 + -12 -8z = -12 + -12 Combine like terms: -12 + -12 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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