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Simplifying 6(4 + -1) + -5(z + 8) = 16(z + 1) Combine like terms: 4 + -1 = 3 6(3) + -5(z + 8) = 16(z + 1) Multiply 6 * 3 18 + -5(z + 8) = 16(z + 1) Reorder the terms: 18 + -5(8 + z) = 16(z + 1) 18 + (8 * -5 + z * -5) = 16(z + 1) 18 + (-40 + -5z) = 16(z + 1) Combine like terms: 18 + -40 = -22 -22 + -5z = 16(z + 1) Reorder the terms: -22 + -5z = 16(1 + z) -22 + -5z = (1 * 16 + z * 16) -22 + -5z = (16 + 16z) Solving -22 + -5z = 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. -22 + -5z + -16z = 16 + 16z + -16z Combine like terms: -5z + -16z = -21z -22 + -21z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -22 + -21z = 16 + 0 -22 + -21z = 16 Add '22' to each side of the equation. -22 + 22 + -21z = 16 + 22 Combine like terms: -22 + 22 = 0 0 + -21z = 16 + 22 -21z = 16 + 22 Combine like terms: 16 + 22 = 38 -21z = 38 Divide each side by '-21'. z = -1.80952381 Simplifying z = -1.80952381
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