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Simplifying 1 + 8(6z + -2) = 3(6z + -2) + -8 Reorder the terms: 1 + 8(-2 + 6z) = 3(6z + -2) + -8 1 + (-2 * 8 + 6z * 8) = 3(6z + -2) + -8 1 + (-16 + 48z) = 3(6z + -2) + -8 Combine like terms: 1 + -16 = -15 -15 + 48z = 3(6z + -2) + -8 Reorder the terms: -15 + 48z = 3(-2 + 6z) + -8 -15 + 48z = (-2 * 3 + 6z * 3) + -8 -15 + 48z = (-6 + 18z) + -8 Reorder the terms: -15 + 48z = -6 + -8 + 18z Combine like terms: -6 + -8 = -14 -15 + 48z = -14 + 18z Solving -15 + 48z = -14 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -15 + 48z + -18z = -14 + 18z + -18z Combine like terms: 48z + -18z = 30z -15 + 30z = -14 + 18z + -18z Combine like terms: 18z + -18z = 0 -15 + 30z = -14 + 0 -15 + 30z = -14 Add '15' to each side of the equation. -15 + 15 + 30z = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 30z = -14 + 15 30z = -14 + 15 Combine like terms: -14 + 15 = 1 30z = 1 Divide each side by '30'. z = 0.03333333333 Simplifying z = 0.03333333333
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