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Simplifying -9 + (4z + -2) = -5(z + 5) + 1 Reorder the terms: -9 + (-2 + 4z) = -5(z + 5) + 1 Remove parenthesis around (-2 + 4z) -9 + -2 + 4z = -5(z + 5) + 1 Combine like terms: -9 + -2 = -11 -11 + 4z = -5(z + 5) + 1 Reorder the terms: -11 + 4z = -5(5 + z) + 1 -11 + 4z = (5 * -5 + z * -5) + 1 -11 + 4z = (-25 + -5z) + 1 Reorder the terms: -11 + 4z = -25 + 1 + -5z Combine like terms: -25 + 1 = -24 -11 + 4z = -24 + -5z Solving -11 + 4z = -24 + -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 = -24 + -5z + 5z Combine like terms: 4z + 5z = 9z -11 + 9z = -24 + -5z + 5z Combine like terms: -5z + 5z = 0 -11 + 9z = -24 + 0 -11 + 9z = -24 Add '11' to each side of the equation. -11 + 11 + 9z = -24 + 11 Combine like terms: -11 + 11 = 0 0 + 9z = -24 + 11 9z = -24 + 11 Combine like terms: -24 + 11 = -13 9z = -13 Divide each side by '9'. z = -1.444444444 Simplifying z = -1.444444444
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