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Simplifying 5 + -3z + -18 = 2 + -1 + 8z Reorder the terms: 5 + -18 + -3z = 2 + -1 + 8z Combine like terms: 5 + -18 = -13 -13 + -3z = 2 + -1 + 8z Combine like terms: 2 + -1 = 1 -13 + -3z = 1 + 8z Solving -13 + -3z = 1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -13 + -3z + -8z = 1 + 8z + -8z Combine like terms: -3z + -8z = -11z -13 + -11z = 1 + 8z + -8z Combine like terms: 8z + -8z = 0 -13 + -11z = 1 + 0 -13 + -11z = 1 Add '13' to each side of the equation. -13 + 13 + -11z = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -11z = 1 + 13 -11z = 1 + 13 Combine like terms: 1 + 13 = 14 -11z = 14 Divide each side by '-11'. z = -1.272727273 Simplifying z = -1.272727273
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