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Simplifying -5 + -9(2z + -3) = (-8z + 1) + 8 Reorder the terms: -5 + -9(-3 + 2z) = (-8z + 1) + 8 -5 + (-3 * -9 + 2z * -9) = (-8z + 1) + 8 -5 + (27 + -18z) = (-8z + 1) + 8 Combine like terms: -5 + 27 = 22 22 + -18z = (-8z + 1) + 8 Reorder the terms: 22 + -18z = (1 + -8z) + 8 Remove parenthesis around (1 + -8z) 22 + -18z = 1 + -8z + 8 Reorder the terms: 22 + -18z = 1 + 8 + -8z Combine like terms: 1 + 8 = 9 22 + -18z = 9 + -8z Solving 22 + -18z = 9 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 22 + -18z + 8z = 9 + -8z + 8z Combine like terms: -18z + 8z = -10z 22 + -10z = 9 + -8z + 8z Combine like terms: -8z + 8z = 0 22 + -10z = 9 + 0 22 + -10z = 9 Add '-22' to each side of the equation. 22 + -22 + -10z = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -10z = 9 + -22 -10z = 9 + -22 Combine like terms: 9 + -22 = -13 -10z = -13 Divide each side by '-10'. z = 1.3 Simplifying z = 1.3
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