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Simplifying 4 + -8(1 + 6z) = -30 4 + (1 * -8 + 6z * -8) = -30 4 + (-8 + -48z) = -30 Combine like terms: 4 + -8 = -4 -4 + -48z = -30 Solving -4 + -48z = -30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -48z = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -48z = -30 + 4 -48z = -30 + 4 Combine like terms: -30 + 4 = -26 -48z = -26 Divide each side by '-48'. z = 0.5416666667 Simplifying z = 0.5416666667
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