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Simplifying 5(6z + -1) + -4(z + 7) = 16(z + 1) Reorder the terms: 5(-1 + 6z) + -4(z + 7) = 16(z + 1) (-1 * 5 + 6z * 5) + -4(z + 7) = 16(z + 1) (-5 + 30z) + -4(z + 7) = 16(z + 1) Reorder the terms: -5 + 30z + -4(7 + z) = 16(z + 1) -5 + 30z + (7 * -4 + z * -4) = 16(z + 1) -5 + 30z + (-28 + -4z) = 16(z + 1) Reorder the terms: -5 + -28 + 30z + -4z = 16(z + 1) Combine like terms: -5 + -28 = -33 -33 + 30z + -4z = 16(z + 1) Combine like terms: 30z + -4z = 26z -33 + 26z = 16(z + 1) Reorder the terms: -33 + 26z = 16(1 + z) -33 + 26z = (1 * 16 + z * 16) -33 + 26z = (16 + 16z) Solving -33 + 26z = 16 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -33 + 26z + -16z = 16 + 16z + -16z Combine like terms: 26z + -16z = 10z -33 + 10z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -33 + 10z = 16 + 0 -33 + 10z = 16 Add '33' to each side of the equation. -33 + 33 + 10z = 16 + 33 Combine like terms: -33 + 33 = 0 0 + 10z = 16 + 33 10z = 16 + 33 Combine like terms: 16 + 33 = 49 10z = 49 Divide each side by '10'. z = 4.9 Simplifying z = 4.9
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