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Simplifying 4(6z + -1) + -4(z + 8) = 17(z + 1) Reorder the terms: 4(-1 + 6z) + -4(z + 8) = 17(z + 1) (-1 * 4 + 6z * 4) + -4(z + 8) = 17(z + 1) (-4 + 24z) + -4(z + 8) = 17(z + 1) Reorder the terms: -4 + 24z + -4(8 + z) = 17(z + 1) -4 + 24z + (8 * -4 + z * -4) = 17(z + 1) -4 + 24z + (-32 + -4z) = 17(z + 1) Reorder the terms: -4 + -32 + 24z + -4z = 17(z + 1) Combine like terms: -4 + -32 = -36 -36 + 24z + -4z = 17(z + 1) Combine like terms: 24z + -4z = 20z -36 + 20z = 17(z + 1) Reorder the terms: -36 + 20z = 17(1 + z) -36 + 20z = (1 * 17 + z * 17) -36 + 20z = (17 + 17z) Solving -36 + 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. -36 + 20z + -17z = 17 + 17z + -17z Combine like terms: 20z + -17z = 3z -36 + 3z = 17 + 17z + -17z Combine like terms: 17z + -17z = 0 -36 + 3z = 17 + 0 -36 + 3z = 17 Add '36' to each side of the equation. -36 + 36 + 3z = 17 + 36 Combine like terms: -36 + 36 = 0 0 + 3z = 17 + 36 3z = 17 + 36 Combine like terms: 17 + 36 = 53 3z = 53 Divide each side by '3'. z = 17.66666667 Simplifying z = 17.66666667
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