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Simplifying 5(4z + -1) + -2(z + 6) = 16(z + 1) Reorder the terms: 5(-1 + 4z) + -2(z + 6) = 16(z + 1) (-1 * 5 + 4z * 5) + -2(z + 6) = 16(z + 1) (-5 + 20z) + -2(z + 6) = 16(z + 1) Reorder the terms: -5 + 20z + -2(6 + z) = 16(z + 1) -5 + 20z + (6 * -2 + z * -2) = 16(z + 1) -5 + 20z + (-12 + -2z) = 16(z + 1) Reorder the terms: -5 + -12 + 20z + -2z = 16(z + 1) Combine like terms: -5 + -12 = -17 -17 + 20z + -2z = 16(z + 1) Combine like terms: 20z + -2z = 18z -17 + 18z = 16(z + 1) Reorder the terms: -17 + 18z = 16(1 + z) -17 + 18z = (1 * 16 + z * 16) -17 + 18z = (16 + 16z) Solving -17 + 18z = 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. -17 + 18z + -16z = 16 + 16z + -16z Combine like terms: 18z + -16z = 2z -17 + 2z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -17 + 2z = 16 + 0 -17 + 2z = 16 Add '17' to each side of the equation. -17 + 17 + 2z = 16 + 17 Combine like terms: -17 + 17 = 0 0 + 2z = 16 + 17 2z = 16 + 17 Combine like terms: 16 + 17 = 33 2z = 33 Divide each side by '2'. z = 16.5 Simplifying z = 16.5
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