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Simplifying (4z + -10) + -1(2z + -8) = 0 Reorder the terms: (-10 + 4z) + -1(2z + -8) = 0 Remove parenthesis around (-10 + 4z) -10 + 4z + -1(2z + -8) = 0 Reorder the terms: -10 + 4z + -1(-8 + 2z) = 0 -10 + 4z + (-8 * -1 + 2z * -1) = 0 -10 + 4z + (8 + -2z) = 0 Reorder the terms: -10 + 8 + 4z + -2z = 0 Combine like terms: -10 + 8 = -2 -2 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z -2 + 2z = 0 Solving -2 + 2z = 0 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 + 2z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = 0 + 2 2z = 0 + 2 Combine like terms: 0 + 2 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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