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Simplifying 15z + -2 = 4(2z + 3) Reorder the terms: -2 + 15z = 4(2z + 3) Reorder the terms: -2 + 15z = 4(3 + 2z) -2 + 15z = (3 * 4 + 2z * 4) -2 + 15z = (12 + 8z) Solving -2 + 15z = 12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -2 + 15z + -8z = 12 + 8z + -8z Combine like terms: 15z + -8z = 7z -2 + 7z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 -2 + 7z = 12 + 0 -2 + 7z = 12 Add '2' to each side of the equation. -2 + 2 + 7z = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 12 + 2 7z = 12 + 2 Combine like terms: 12 + 2 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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