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Simplifying 16 = 5z + -1(3z + 1) Reorder the terms: 16 = 5z + -1(1 + 3z) 16 = 5z + (1 * -1 + 3z * -1) 16 = 5z + (-1 + -3z) Reorder the terms: 16 = -1 + 5z + -3z Combine like terms: 5z + -3z = 2z 16 = -1 + 2z Solving 16 = -1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 16 + -2z = -1 + 2z + -2z Combine like terms: 2z + -2z = 0 16 + -2z = -1 + 0 16 + -2z = -1 Add '-16' to each side of the equation. 16 + -16 + -2z = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -2z = -1 + -16 -2z = -1 + -16 Combine like terms: -1 + -16 = -17 -2z = -17 Divide each side by '-2'. z = 8.5 Simplifying z = 8.5
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