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Simplifying 9 + 5(-3z + -2) = -9(z + 5) + 9 Reorder the terms: 9 + 5(-2 + -3z) = -9(z + 5) + 9 9 + (-2 * 5 + -3z * 5) = -9(z + 5) + 9 9 + (-10 + -15z) = -9(z + 5) + 9 Combine like terms: 9 + -10 = -1 -1 + -15z = -9(z + 5) + 9 Reorder the terms: -1 + -15z = -9(5 + z) + 9 -1 + -15z = (5 * -9 + z * -9) + 9 -1 + -15z = (-45 + -9z) + 9 Reorder the terms: -1 + -15z = -45 + 9 + -9z Combine like terms: -45 + 9 = -36 -1 + -15z = -36 + -9z Solving -1 + -15z = -36 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -1 + -15z + 9z = -36 + -9z + 9z Combine like terms: -15z + 9z = -6z -1 + -6z = -36 + -9z + 9z Combine like terms: -9z + 9z = 0 -1 + -6z = -36 + 0 -1 + -6z = -36 Add '1' to each side of the equation. -1 + 1 + -6z = -36 + 1 Combine like terms: -1 + 1 = 0 0 + -6z = -36 + 1 -6z = -36 + 1 Combine like terms: -36 + 1 = -35 -6z = -35 Divide each side by '-6'. z = 5.833333333 Simplifying z = 5.833333333
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