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Simplifying 2(-4z + -13) = 37 + 13z Reorder the terms: 2(-13 + -4z) = 37 + 13z (-13 * 2 + -4z * 2) = 37 + 13z (-26 + -8z) = 37 + 13z Solving -26 + -8z = 37 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -26 + -8z + -13z = 37 + 13z + -13z Combine like terms: -8z + -13z = -21z -26 + -21z = 37 + 13z + -13z Combine like terms: 13z + -13z = 0 -26 + -21z = 37 + 0 -26 + -21z = 37 Add '26' to each side of the equation. -26 + 26 + -21z = 37 + 26 Combine like terms: -26 + 26 = 0 0 + -21z = 37 + 26 -21z = 37 + 26 Combine like terms: 37 + 26 = 63 -21z = 63 Divide each side by '-21'. z = -3 Simplifying z = -3
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