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Simplifying (4z + -8) + -1(7z + 2) = 0 Reorder the terms: (-8 + 4z) + -1(7z + 2) = 0 Remove parenthesis around (-8 + 4z) -8 + 4z + -1(7z + 2) = 0 Reorder the terms: -8 + 4z + -1(2 + 7z) = 0 -8 + 4z + (2 * -1 + 7z * -1) = 0 -8 + 4z + (-2 + -7z) = 0 Reorder the terms: -8 + -2 + 4z + -7z = 0 Combine like terms: -8 + -2 = -10 -10 + 4z + -7z = 0 Combine like terms: 4z + -7z = -3z -10 + -3z = 0 Solving -10 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = 0 + 10 -3z = 0 + 10 Combine like terms: 0 + 10 = 10 -3z = 10 Divide each side by '-3'. z = -3.333333333 Simplifying z = -3.333333333
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