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Simplifying -2 + -5(2z + -4) = -1(-2 + -1) + 5 Reorder the terms: -2 + -5(-4 + 2z) = -1(-2 + -1) + 5 -2 + (-4 * -5 + 2z * -5) = -1(-2 + -1) + 5 -2 + (20 + -10z) = -1(-2 + -1) + 5 Combine like terms: -2 + 20 = 18 18 + -10z = -1(-2 + -1) + 5 Combine like terms: -2 + -1 = -3 18 + -10z = -1(-3) + 5 Multiply -1 * -3 18 + -10z = 3 + 5 Combine like terms: 3 + 5 = 8 18 + -10z = 8 Solving 18 + -10z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -10z = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -10z = 8 + -18 -10z = 8 + -18 Combine like terms: 8 + -18 = -10 -10z = -10 Divide each side by '-10'. z = 1 Simplifying z = 1
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