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Simplifying -2(3Z + -5) + 7(z + -7) = -13 + -6 Reorder the terms: -2(-5 + 3Z) + 7(z + -7) = -13 + -6 (-5 * -2 + 3Z * -2) + 7(z + -7) = -13 + -6 (10 + -6Z) + 7(z + -7) = -13 + -6 Reorder the terms: 10 + -6Z + 7(-7 + z) = -13 + -6 10 + -6Z + (-7 * 7 + z * 7) = -13 + -6 10 + -6Z + (-49 + 7z) = -13 + -6 Reorder the terms: 10 + -49 + -6Z + 7z = -13 + -6 Combine like terms: 10 + -49 = -39 -39 + -6Z + 7z = -13 + -6 Combine like terms: -13 + -6 = -19 -39 + -6Z + 7z = -19 Solving -39 + -6Z + 7z = -19 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + -6Z + 39 + 7z = -19 + 39 Reorder the terms: -39 + 39 + -6Z + 7z = -19 + 39 Combine like terms: -39 + 39 = 0 0 + -6Z + 7z = -19 + 39 -6Z + 7z = -19 + 39 Combine like terms: -19 + 39 = 20 -6Z + 7z = 20 Add '-7z' to each side of the equation. -6Z + 7z + -7z = 20 + -7z Combine like terms: 7z + -7z = 0 -6Z + 0 = 20 + -7z -6Z = 20 + -7z Divide each side by '-6'. Z = -3.333333333 + 1.166666667z Simplifying Z = -3.333333333 + 1.166666667z
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