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Simplifying -5(2z + -1) = 3(z + 3) Reorder the terms: -5(-1 + 2z) = 3(z + 3) (-1 * -5 + 2z * -5) = 3(z + 3) (5 + -10z) = 3(z + 3) Reorder the terms: 5 + -10z = 3(3 + z) 5 + -10z = (3 * 3 + z * 3) 5 + -10z = (9 + 3z) Solving 5 + -10z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + -10z + -3z = 9 + 3z + -3z Combine like terms: -10z + -3z = -13z 5 + -13z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -13z = 9 + 0 5 + -13z = 9 Add '-5' to each side of the equation. 5 + -5 + -13z = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -13z = 9 + -5 -13z = 9 + -5 Combine like terms: 9 + -5 = 4 -13z = 4 Divide each side by '-13'. z = -0.3076923077 Simplifying z = -0.3076923077
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