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Simplifying (7z + -3) + -1(4z + -11) = 47 Reorder the terms: (-3 + 7z) + -1(4z + -11) = 47 Remove parenthesis around (-3 + 7z) -3 + 7z + -1(4z + -11) = 47 Reorder the terms: -3 + 7z + -1(-11 + 4z) = 47 -3 + 7z + (-11 * -1 + 4z * -1) = 47 -3 + 7z + (11 + -4z) = 47 Reorder the terms: -3 + 11 + 7z + -4z = 47 Combine like terms: -3 + 11 = 8 8 + 7z + -4z = 47 Combine like terms: 7z + -4z = 3z 8 + 3z = 47 Solving 8 + 3z = 47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3z = 47 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = 47 + -8 3z = 47 + -8 Combine like terms: 47 + -8 = 39 3z = 39 Divide each side by '3'. z = 13 Simplifying z = 13
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