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Simplifying 9 + (4z + -2) = -1(5z + 5) + 1 Reorder the terms: 9 + (-2 + 4z) = -1(5z + 5) + 1 Remove parenthesis around (-2 + 4z) 9 + -2 + 4z = -1(5z + 5) + 1 Combine like terms: 9 + -2 = 7 7 + 4z = -1(5z + 5) + 1 Reorder the terms: 7 + 4z = -1(5 + 5z) + 1 7 + 4z = (5 * -1 + 5z * -1) + 1 7 + 4z = (-5 + -5z) + 1 Reorder the terms: 7 + 4z = -5 + 1 + -5z Combine like terms: -5 + 1 = -4 7 + 4z = -4 + -5z Solving 7 + 4z = -4 + -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. 7 + 4z + 5z = -4 + -5z + 5z Combine like terms: 4z + 5z = 9z 7 + 9z = -4 + -5z + 5z Combine like terms: -5z + 5z = 0 7 + 9z = -4 + 0 7 + 9z = -4 Add '-7' to each side of the equation. 7 + -7 + 9z = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 9z = -4 + -7 9z = -4 + -7 Combine like terms: -4 + -7 = -11 9z = -11 Divide each side by '9'. z = -1.222222222 Simplifying z = -1.222222222
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