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Simplifying 10 + -1(z + 1) + -4z + -8 = z + -11 Reorder the terms: 10 + -1(1 + z) + -4z + -8 = z + -11 10 + (1 * -1 + z * -1) + -4z + -8 = z + -11 10 + (-1 + -1z) + -4z + -8 = z + -11 Reorder the terms: 10 + -1 + -8 + -1z + -4z = z + -11 Combine like terms: 10 + -1 = 9 9 + -8 + -1z + -4z = z + -11 Combine like terms: 9 + -8 = 1 1 + -1z + -4z = z + -11 Combine like terms: -1z + -4z = -5z 1 + -5z = z + -11 Reorder the terms: 1 + -5z = -11 + z Solving 1 + -5z = -11 + 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. 1 + -5z + -1z = -11 + z + -1z Combine like terms: -5z + -1z = -6z 1 + -6z = -11 + z + -1z Combine like terms: z + -1z = 0 1 + -6z = -11 + 0 1 + -6z = -11 Add '-1' to each side of the equation. 1 + -1 + -6z = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -6z = -11 + -1 -6z = -11 + -1 Combine like terms: -11 + -1 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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