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Simplifying 6(4z + -1) + -4(z + 2) = 17(z + 1) Reorder the terms: 6(-1 + 4z) + -4(z + 2) = 17(z + 1) (-1 * 6 + 4z * 6) + -4(z + 2) = 17(z + 1) (-6 + 24z) + -4(z + 2) = 17(z + 1) Reorder the terms: -6 + 24z + -4(2 + z) = 17(z + 1) -6 + 24z + (2 * -4 + z * -4) = 17(z + 1) -6 + 24z + (-8 + -4z) = 17(z + 1) Reorder the terms: -6 + -8 + 24z + -4z = 17(z + 1) Combine like terms: -6 + -8 = -14 -14 + 24z + -4z = 17(z + 1) Combine like terms: 24z + -4z = 20z -14 + 20z = 17(z + 1) Reorder the terms: -14 + 20z = 17(1 + z) -14 + 20z = (1 * 17 + z * 17) -14 + 20z = (17 + 17z) Solving -14 + 20z = 17 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -14 + 20z + -17z = 17 + 17z + -17z Combine like terms: 20z + -17z = 3z -14 + 3z = 17 + 17z + -17z Combine like terms: 17z + -17z = 0 -14 + 3z = 17 + 0 -14 + 3z = 17 Add '14' to each side of the equation. -14 + 14 + 3z = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 3z = 17 + 14 3z = 17 + 14 Combine like terms: 17 + 14 = 31 3z = 31 Divide each side by '3'. z = 10.33333333 Simplifying z = 10.33333333
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