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Simplifying 4z + -3(3z + -5) = 2z + 1 Reorder the terms: 4z + -3(-5 + 3z) = 2z + 1 4z + (-5 * -3 + 3z * -3) = 2z + 1 4z + (15 + -9z) = 2z + 1 Reorder the terms: 15 + 4z + -9z = 2z + 1 Combine like terms: 4z + -9z = -5z 15 + -5z = 2z + 1 Reorder the terms: 15 + -5z = 1 + 2z Solving 15 + -5z = 1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 15 + -5z + -2z = 1 + 2z + -2z Combine like terms: -5z + -2z = -7z 15 + -7z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 15 + -7z = 1 + 0 15 + -7z = 1 Add '-15' to each side of the equation. 15 + -15 + -7z = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7z = 1 + -15 -7z = 1 + -15 Combine like terms: 1 + -15 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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