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Simplifying 5 + -1(-1z + -6) + -4z + 8 = z + -11 Reorder the terms: 5 + -1(-6 + -1z) + -4z + 8 = z + -11 5 + (-6 * -1 + -1z * -1) + -4z + 8 = z + -11 5 + (6 + 1z) + -4z + 8 = z + -11 Reorder the terms: 5 + 6 + 8 + 1z + -4z = z + -11 Combine like terms: 5 + 6 = 11 11 + 8 + 1z + -4z = z + -11 Combine like terms: 11 + 8 = 19 19 + 1z + -4z = z + -11 Combine like terms: 1z + -4z = -3z 19 + -3z = z + -11 Reorder the terms: 19 + -3z = -11 + z Solving 19 + -3z = -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. 19 + -3z + -1z = -11 + z + -1z Combine like terms: -3z + -1z = -4z 19 + -4z = -11 + z + -1z Combine like terms: z + -1z = 0 19 + -4z = -11 + 0 19 + -4z = -11 Add '-19' to each side of the equation. 19 + -19 + -4z = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -4z = -11 + -19 -4z = -11 + -19 Combine like terms: -11 + -19 = -30 -4z = -30 Divide each side by '-4'. z = 7.5 Simplifying z = 7.5
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