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Simplifying 13(z + -2) + -10(z + -8) = 56 Reorder the terms: 13(-2 + z) + -10(z + -8) = 56 (-2 * 13 + z * 13) + -10(z + -8) = 56 (-26 + 13z) + -10(z + -8) = 56 Reorder the terms: -26 + 13z + -10(-8 + z) = 56 -26 + 13z + (-8 * -10 + z * -10) = 56 -26 + 13z + (80 + -10z) = 56 Reorder the terms: -26 + 80 + 13z + -10z = 56 Combine like terms: -26 + 80 = 54 54 + 13z + -10z = 56 Combine like terms: 13z + -10z = 3z 54 + 3z = 56 Solving 54 + 3z = 56 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 3z = 56 + -54 Combine like terms: 54 + -54 = 0 0 + 3z = 56 + -54 3z = 56 + -54 Combine like terms: 56 + -54 = 2 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667
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