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Simplifying -6z + -1(3z + 13) + -7 + -5z + 4 = -184 Reorder the terms: -6z + -1(13 + 3z) + -7 + -5z + 4 = -184 -6z + (13 * -1 + 3z * -1) + -7 + -5z + 4 = -184 -6z + (-13 + -3z) + -7 + -5z + 4 = -184 Reorder the terms: -13 + -7 + 4 + -6z + -3z + -5z = -184 Combine like terms: -13 + -7 = -20 -20 + 4 + -6z + -3z + -5z = -184 Combine like terms: -20 + 4 = -16 -16 + -6z + -3z + -5z = -184 Combine like terms: -6z + -3z = -9z -16 + -9z + -5z = -184 Combine like terms: -9z + -5z = -14z -16 + -14z = -184 Solving -16 + -14z = -184 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -14z = -184 + 16 Combine like terms: -16 + 16 = 0 0 + -14z = -184 + 16 -14z = -184 + 16 Combine like terms: -184 + 16 = -168 -14z = -168 Divide each side by '-14'. z = 12 Simplifying z = 12
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