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Simplifying 2(4z + -1) + -3(2 + 6) = 2(z + 1) Reorder the terms: 2(-1 + 4z) + -3(2 + 6) = 2(z + 1) (-1 * 2 + 4z * 2) + -3(2 + 6) = 2(z + 1) (-2 + 8z) + -3(2 + 6) = 2(z + 1) Combine like terms: 2 + 6 = 8 -2 + 8z + -3(8) = 2(z + 1) Multiply -3 * 8 -2 + 8z + -24 = 2(z + 1) Reorder the terms: -2 + -24 + 8z = 2(z + 1) Combine like terms: -2 + -24 = -26 -26 + 8z = 2(z + 1) Reorder the terms: -26 + 8z = 2(1 + z) -26 + 8z = (1 * 2 + z * 2) -26 + 8z = (2 + 2z) Solving -26 + 8z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -26 + 8z + -2z = 2 + 2z + -2z Combine like terms: 8z + -2z = 6z -26 + 6z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -26 + 6z = 2 + 0 -26 + 6z = 2 Add '26' to each side of the equation. -26 + 26 + 6z = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 6z = 2 + 26 6z = 2 + 26 Combine like terms: 2 + 26 = 28 6z = 28 Divide each side by '6'. z = 4.666666667 Simplifying z = 4.666666667
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