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Simplifying 2 = 6 + -1[7 + -15z + 10] Reorder the terms: 2 = 6 + -1[7 + 10 + -15z] Combine like terms: 7 + 10 = 17 2 = 6 + -1[17 + -15z] 2 = 6 + [17 * -1 + -15z * -1] 2 = 6 + [-17 + 15z] Combine like terms: 6 + -17 = -11 2 = -11 + 15z Solving 2 = -11 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 2 + -15z = -11 + 15z + -15z Combine like terms: 15z + -15z = 0 2 + -15z = -11 + 0 2 + -15z = -11 Add '-2' to each side of the equation. 2 + -2 + -15z = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -15z = -11 + -2 -15z = -11 + -2 Combine like terms: -11 + -2 = -13 -15z = -13 Divide each side by '-15'. z = 0.8666666667 Simplifying z = 0.8666666667
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