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Simplifying -11z + -1(-5z) + -1(-9z) + -1(-4) = -17 Remove parenthesis around (-5z) -11z + -1 * -5z + -1(-9z) + -1(-4) = -17 Multiply -1 * -5 -11z + 5z + -1(-9z) + -1(-4) = -17 Remove parenthesis around (-9z) -11z + 5z + -1 * -9z + -1(-4) = -17 Multiply -1 * -9 -11z + 5z + 9z + -1(-4) = -17 Multiply -1 * -4 -11z + 5z + 9z + 4 = -17 Reorder the terms: 4 + -11z + 5z + 9z = -17 Combine like terms: -11z + 5z = -6z 4 + -6z + 9z = -17 Combine like terms: -6z + 9z = 3z 4 + 3z = -17 Solving 4 + 3z = -17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = -17 + -4 3z = -17 + -4 Combine like terms: -17 + -4 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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