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Simplifying 3(5z + 1) + -12 = 13z + 3 Reorder the terms: 3(1 + 5z) + -12 = 13z + 3 (1 * 3 + 5z * 3) + -12 = 13z + 3 (3 + 15z) + -12 = 13z + 3 Reorder the terms: 3 + -12 + 15z = 13z + 3 Combine like terms: 3 + -12 = -9 -9 + 15z = 13z + 3 Reorder the terms: -9 + 15z = 3 + 13z Solving -9 + 15z = 3 + 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. -9 + 15z + -13z = 3 + 13z + -13z Combine like terms: 15z + -13z = 2z -9 + 2z = 3 + 13z + -13z Combine like terms: 13z + -13z = 0 -9 + 2z = 3 + 0 -9 + 2z = 3 Add '9' to each side of the equation. -9 + 9 + 2z = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = 3 + 9 2z = 3 + 9 Combine like terms: 3 + 9 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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