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Simplifying -3z + -20 = 2(5z + 3) Reorder the terms: -20 + -3z = 2(5z + 3) Reorder the terms: -20 + -3z = 2(3 + 5z) -20 + -3z = (3 * 2 + 5z * 2) -20 + -3z = (6 + 10z) Solving -20 + -3z = 6 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -20 + -3z + -10z = 6 + 10z + -10z Combine like terms: -3z + -10z = -13z -20 + -13z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 -20 + -13z = 6 + 0 -20 + -13z = 6 Add '20' to each side of the equation. -20 + 20 + -13z = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -13z = 6 + 20 -13z = 6 + 20 Combine like terms: 6 + 20 = 26 -13z = 26 Divide each side by '-13'. z = -2 Simplifying z = -2
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