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Simplifying 6 + -4(8z + 2) = -1(-3z + 1) + 1 Reorder the terms: 6 + -4(2 + 8z) = -1(-3z + 1) + 1 6 + (2 * -4 + 8z * -4) = -1(-3z + 1) + 1 6 + (-8 + -32z) = -1(-3z + 1) + 1 Combine like terms: 6 + -8 = -2 -2 + -32z = -1(-3z + 1) + 1 Reorder the terms: -2 + -32z = -1(1 + -3z) + 1 -2 + -32z = (1 * -1 + -3z * -1) + 1 -2 + -32z = (-1 + 3z) + 1 Reorder the terms: -2 + -32z = -1 + 1 + 3z Combine like terms: -1 + 1 = 0 -2 + -32z = 0 + 3z -2 + -32z = 3z Solving -2 + -32z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -2 + -32z + -3z = 3z + -3z Combine like terms: -32z + -3z = -35z -2 + -35z = 3z + -3z Combine like terms: 3z + -3z = 0 -2 + -35z = 0 Add '2' to each side of the equation. -2 + 2 + -35z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -35z = 0 + 2 -35z = 0 + 2 Combine like terms: 0 + 2 = 2 -35z = 2 Divide each side by '-35'. z = -0.05714285714 Simplifying z = -0.05714285714
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