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Simplifying 2(5z + -3) = -3z + 20 Reorder the terms: 2(-3 + 5z) = -3z + 20 (-3 * 2 + 5z * 2) = -3z + 20 (-6 + 10z) = -3z + 20 Reorder the terms: -6 + 10z = 20 + -3z Solving -6 + 10z = 20 + -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. -6 + 10z + 3z = 20 + -3z + 3z Combine like terms: 10z + 3z = 13z -6 + 13z = 20 + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 13z = 20 + 0 -6 + 13z = 20 Add '6' to each side of the equation. -6 + 6 + 13z = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 13z = 20 + 6 13z = 20 + 6 Combine like terms: 20 + 6 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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