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Simplifying 5(6z + -1) + -3(z + 9) = 17(z + 1) Reorder the terms: 5(-1 + 6z) + -3(z + 9) = 17(z + 1) (-1 * 5 + 6z * 5) + -3(z + 9) = 17(z + 1) (-5 + 30z) + -3(z + 9) = 17(z + 1) Reorder the terms: -5 + 30z + -3(9 + z) = 17(z + 1) -5 + 30z + (9 * -3 + z * -3) = 17(z + 1) -5 + 30z + (-27 + -3z) = 17(z + 1) Reorder the terms: -5 + -27 + 30z + -3z = 17(z + 1) Combine like terms: -5 + -27 = -32 -32 + 30z + -3z = 17(z + 1) Combine like terms: 30z + -3z = 27z -32 + 27z = 17(z + 1) Reorder the terms: -32 + 27z = 17(1 + z) -32 + 27z = (1 * 17 + z * 17) -32 + 27z = (17 + 17z) Solving -32 + 27z = 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. -32 + 27z + -17z = 17 + 17z + -17z Combine like terms: 27z + -17z = 10z -32 + 10z = 17 + 17z + -17z Combine like terms: 17z + -17z = 0 -32 + 10z = 17 + 0 -32 + 10z = 17 Add '32' to each side of the equation. -32 + 32 + 10z = 17 + 32 Combine like terms: -32 + 32 = 0 0 + 10z = 17 + 32 10z = 17 + 32 Combine like terms: 17 + 32 = 49 10z = 49 Divide each side by '10'. z = 4.9 Simplifying z = 4.9
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