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Simplifying -1(-0.5z) + 5(-2.5z) + 26 = 0 Remove parenthesis around (-0.5z) -1 * -0.5z + 5(-2.5z) + 26 = 0 Multiply -1 * -0.5 0.5z + 5(-2.5z) + 26 = 0 Remove parenthesis around (-2.5z) 0.5z + 5 * -2.5z + 26 = 0 Multiply 5 * -2.5 0.5z + -12.5z + 26 = 0 Reorder the terms: 26 + 0.5z + -12.5z = 0 Combine like terms: 0.5z + -12.5z = -12z 26 + -12z = 0 Solving 26 + -12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -12z = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -12z = 0 + -26 -12z = 0 + -26 Combine like terms: 0 + -26 = -26 -12z = -26 Divide each side by '-12'. z = 2.166666667 Simplifying z = 2.166666667
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