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Simplifying -5 + (4z + -3) = 9(-3z + -2) + -2 Reorder the terms: -5 + (-3 + 4z) = 9(-3z + -2) + -2 Remove parenthesis around (-3 + 4z) -5 + -3 + 4z = 9(-3z + -2) + -2 Combine like terms: -5 + -3 = -8 -8 + 4z = 9(-3z + -2) + -2 Reorder the terms: -8 + 4z = 9(-2 + -3z) + -2 -8 + 4z = (-2 * 9 + -3z * 9) + -2 -8 + 4z = (-18 + -27z) + -2 Reorder the terms: -8 + 4z = -18 + -2 + -27z Combine like terms: -18 + -2 = -20 -8 + 4z = -20 + -27z Solving -8 + 4z = -20 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. -8 + 4z + 27z = -20 + -27z + 27z Combine like terms: 4z + 27z = 31z -8 + 31z = -20 + -27z + 27z Combine like terms: -27z + 27z = 0 -8 + 31z = -20 + 0 -8 + 31z = -20 Add '8' to each side of the equation. -8 + 8 + 31z = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 31z = -20 + 8 31z = -20 + 8 Combine like terms: -20 + 8 = -12 31z = -12 Divide each side by '31'. z = -0.3870967742 Simplifying z = -0.3870967742
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