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