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Simplifying 8 + 5(-2z + 1) = (8z + 6) + -3 Reorder the terms: 8 + 5(1 + -2z) = (8z + 6) + -3 8 + (1 * 5 + -2z * 5) = (8z + 6) + -3 8 + (5 + -10z) = (8z + 6) + -3 Combine like terms: 8 + 5 = 13 13 + -10z = (8z + 6) + -3 Reorder the terms: 13 + -10z = (6 + 8z) + -3 Remove parenthesis around (6 + 8z) 13 + -10z = 6 + 8z + -3 Reorder the terms: 13 + -10z = 6 + -3 + 8z Combine like terms: 6 + -3 = 3 13 + -10z = 3 + 8z Solving 13 + -10z = 3 + 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. 13 + -10z + -8z = 3 + 8z + -8z Combine like terms: -10z + -8z = -18z 13 + -18z = 3 + 8z + -8z Combine like terms: 8z + -8z = 0 13 + -18z = 3 + 0 13 + -18z = 3 Add '-13' to each side of the equation. 13 + -13 + -18z = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -18z = 3 + -13 -18z = 3 + -13 Combine like terms: 3 + -13 = -10 -18z = -10 Divide each side by '-18'. z = 0.5555555556 Simplifying z = 0.5555555556
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