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Simplifying 1 + -8(6z + 4) = -3(4z + -3) + -6 Reorder the terms: 1 + -8(4 + 6z) = -3(4z + -3) + -6 1 + (4 * -8 + 6z * -8) = -3(4z + -3) + -6 1 + (-32 + -48z) = -3(4z + -3) + -6 Combine like terms: 1 + -32 = -31 -31 + -48z = -3(4z + -3) + -6 Reorder the terms: -31 + -48z = -3(-3 + 4z) + -6 -31 + -48z = (-3 * -3 + 4z * -3) + -6 -31 + -48z = (9 + -12z) + -6 Reorder the terms: -31 + -48z = 9 + -6 + -12z Combine like terms: 9 + -6 = 3 -31 + -48z = 3 + -12z Solving -31 + -48z = 3 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -31 + -48z + 12z = 3 + -12z + 12z Combine like terms: -48z + 12z = -36z -31 + -36z = 3 + -12z + 12z Combine like terms: -12z + 12z = 0 -31 + -36z = 3 + 0 -31 + -36z = 3 Add '31' to each side of the equation. -31 + 31 + -36z = 3 + 31 Combine like terms: -31 + 31 = 0 0 + -36z = 3 + 31 -36z = 3 + 31 Combine like terms: 3 + 31 = 34 -36z = 34 Divide each side by '-36'. z = -0.9444444444 Simplifying z = -0.9444444444
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