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Simplifying -9 + (4z + -2) = (5z + 5) + 1 Reorder the terms: -9 + (-2 + 4z) = (5z + 5) + 1 Remove parenthesis around (-2 + 4z) -9 + -2 + 4z = (5z + 5) + 1 Combine like terms: -9 + -2 = -11 -11 + 4z = (5z + 5) + 1 Reorder the terms: -11 + 4z = (5 + 5z) + 1 Remove parenthesis around (5 + 5z) -11 + 4z = 5 + 5z + 1 Reorder the terms: -11 + 4z = 5 + 1 + 5z Combine like terms: 5 + 1 = 6 -11 + 4z = 6 + 5z Solving -11 + 4z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -11 + 4z + -5z = 6 + 5z + -5z Combine like terms: 4z + -5z = -1z -11 + -1z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -11 + -1z = 6 + 0 -11 + -1z = 6 Add '11' to each side of the equation. -11 + 11 + -1z = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = 6 + 11 -1z = 6 + 11 Combine like terms: 6 + 11 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17
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