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Simplifying (6z + -46) + 33 = 5z + 14 Reorder the terms: (-46 + 6z) + 33 = 5z + 14 Remove parenthesis around (-46 + 6z) -46 + 6z + 33 = 5z + 14 Reorder the terms: -46 + 33 + 6z = 5z + 14 Combine like terms: -46 + 33 = -13 -13 + 6z = 5z + 14 Reorder the terms: -13 + 6z = 14 + 5z Solving -13 + 6z = 14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -13 + 6z + -5z = 14 + 5z + -5z Combine like terms: 6z + -5z = 1z -13 + 1z = 14 + 5z + -5z Combine like terms: 5z + -5z = 0 -13 + 1z = 14 + 0 -13 + 1z = 14 Add '13' to each side of the equation. -13 + 13 + 1z = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 1z = 14 + 13 1z = 14 + 13 Combine like terms: 14 + 13 = 27 1z = 27 Divide each side by '1'. z = 27 Simplifying z = 27
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