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Simplifying 2 + -2(-8z + 2) = -3(8z + 9) + -1 Reorder the terms: 2 + -2(2 + -8z) = -3(8z + 9) + -1 2 + (2 * -2 + -8z * -2) = -3(8z + 9) + -1 2 + (-4 + 16z) = -3(8z + 9) + -1 Combine like terms: 2 + -4 = -2 -2 + 16z = -3(8z + 9) + -1 Reorder the terms: -2 + 16z = -3(9 + 8z) + -1 -2 + 16z = (9 * -3 + 8z * -3) + -1 -2 + 16z = (-27 + -24z) + -1 Reorder the terms: -2 + 16z = -27 + -1 + -24z Combine like terms: -27 + -1 = -28 -2 + 16z = -28 + -24z Solving -2 + 16z = -28 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -2 + 16z + 24z = -28 + -24z + 24z Combine like terms: 16z + 24z = 40z -2 + 40z = -28 + -24z + 24z Combine like terms: -24z + 24z = 0 -2 + 40z = -28 + 0 -2 + 40z = -28 Add '2' to each side of the equation. -2 + 2 + 40z = -28 + 2 Combine like terms: -2 + 2 = 0 0 + 40z = -28 + 2 40z = -28 + 2 Combine like terms: -28 + 2 = -26 40z = -26 Divide each side by '40'. z = -0.65 Simplifying z = -0.65
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