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Simplifying 15z + -16z + -1(-17z + -13z + -4z) + 2 = -6 Combine like terms: -17z + -13z = -30z 15z + -16z + -1(-30z + -4z) + 2 = -6 Combine like terms: -30z + -4z = -34z 15z + -16z + -1(-34z) + 2 = -6 Remove parenthesis around (-34z) 15z + -16z + -1 * -34z + 2 = -6 Multiply -1 * -34 15z + -16z + 34z + 2 = -6 Reorder the terms: 2 + 15z + -16z + 34z = -6 Combine like terms: 15z + -16z = -1z 2 + -1z + 34z = -6 Combine like terms: -1z + 34z = 33z 2 + 33z = -6 Solving 2 + 33z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 33z = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 33z = -6 + -2 33z = -6 + -2 Combine like terms: -6 + -2 = -8 33z = -8 Divide each side by '33'. z = -0.2424242424 Simplifying z = -0.2424242424
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