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Simplifying 14z + -1(3z + -2) = [5z + 2 + -1(2 + -1)] Reorder the terms: 14z + -1(-2 + 3z) = [5z + 2 + -1(2 + -1)] 14z + (-2 * -1 + 3z * -1) = [5z + 2 + -1(2 + -1)] 14z + (2 + -3z) = [5z + 2 + -1(2 + -1)] Reorder the terms: 2 + 14z + -3z = [5z + 2 + -1(2 + -1)] Combine like terms: 14z + -3z = 11z 2 + 11z = [5z + 2 + -1(2 + -1)] Combine like terms: 2 + -1 = 1 2 + 11z = [5z + 2 + -1(1)] Multiply -1 * 1 2 + 11z = [5z + 2 + -1] Reorder the terms: 2 + 11z = [2 + -1 + 5z] Combine like terms: 2 + -1 = 1 2 + 11z = [1 + 5z] Remove brackets around [1 + 5z] 2 + 11z = 1 + 5z Solving 2 + 11z = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 11z + -5z = 1 + 5z + -5z Combine like terms: 11z + -5z = 6z 2 + 6z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 6z = 1 + 0 2 + 6z = 1 Add '-2' to each side of the equation. 2 + -2 + 6z = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 1 + -2 6z = 1 + -2 Combine like terms: 1 + -2 = -1 6z = -1 Divide each side by '6'. z = -0.1666666667 Simplifying z = -0.1666666667
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