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Simplifying 12 + -1(-6 + 24) + -13z = -6z + -27 + (-19z + 29) Combine like terms: -6 + 24 = 18 12 + -1(18) + -13z = -6z + -27 + (-19z + 29) Multiply -1 * 18 12 + -18 + -13z = -6z + -27 + (-19z + 29) Combine like terms: 12 + -18 = -6 -6 + -13z = -6z + -27 + (-19z + 29) Reorder the terms: -6 + -13z = -6z + -27 + (29 + -19z) Remove parenthesis around (29 + -19z) -6 + -13z = -6z + -27 + 29 + -19z Reorder the terms: -6 + -13z = -27 + 29 + -6z + -19z Combine like terms: -27 + 29 = 2 -6 + -13z = 2 + -6z + -19z Combine like terms: -6z + -19z = -25z -6 + -13z = 2 + -25z Solving -6 + -13z = 2 + -25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25z' to each side of the equation. -6 + -13z + 25z = 2 + -25z + 25z Combine like terms: -13z + 25z = 12z -6 + 12z = 2 + -25z + 25z Combine like terms: -25z + 25z = 0 -6 + 12z = 2 + 0 -6 + 12z = 2 Add '6' to each side of the equation. -6 + 6 + 12z = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 12z = 2 + 6 12z = 2 + 6 Combine like terms: 2 + 6 = 8 12z = 8 Divide each side by '12'. z = 0.6666666667 Simplifying z = 0.6666666667
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