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Simplifying -1 + 3(8z + -1) = -1(-6z + -3) + 5 Reorder the terms: -1 + 3(-1 + 8z) = -1(-6z + -3) + 5 -1 + (-1 * 3 + 8z * 3) = -1(-6z + -3) + 5 -1 + (-3 + 24z) = -1(-6z + -3) + 5 Combine like terms: -1 + -3 = -4 -4 + 24z = -1(-6z + -3) + 5 Reorder the terms: -4 + 24z = -1(-3 + -6z) + 5 -4 + 24z = (-3 * -1 + -6z * -1) + 5 -4 + 24z = (3 + 6z) + 5 Reorder the terms: -4 + 24z = 3 + 5 + 6z Combine like terms: 3 + 5 = 8 -4 + 24z = 8 + 6z Solving -4 + 24z = 8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -4 + 24z + -6z = 8 + 6z + -6z Combine like terms: 24z + -6z = 18z -4 + 18z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 -4 + 18z = 8 + 0 -4 + 18z = 8 Add '4' to each side of the equation. -4 + 4 + 18z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 18z = 8 + 4 18z = 8 + 4 Combine like terms: 8 + 4 = 12 18z = 12 Divide each side by '18'. z = 0.6666666667 Simplifying z = 0.6666666667
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