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Simplifying 4(3z + -1) + -2(z + 2) = 5z + 1 Reorder the terms: 4(-1 + 3z) + -2(z + 2) = 5z + 1 (-1 * 4 + 3z * 4) + -2(z + 2) = 5z + 1 (-4 + 12z) + -2(z + 2) = 5z + 1 Reorder the terms: -4 + 12z + -2(2 + z) = 5z + 1 -4 + 12z + (2 * -2 + z * -2) = 5z + 1 -4 + 12z + (-4 + -2z) = 5z + 1 Reorder the terms: -4 + -4 + 12z + -2z = 5z + 1 Combine like terms: -4 + -4 = -8 -8 + 12z + -2z = 5z + 1 Combine like terms: 12z + -2z = 10z -8 + 10z = 5z + 1 Reorder the terms: -8 + 10z = 1 + 5z Solving -8 + 10z = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -8 + 10z + -5z = 1 + 5z + -5z Combine like terms: 10z + -5z = 5z -8 + 5z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + 5z = 1 + 0 -8 + 5z = 1 Add '8' to each side of the equation. -8 + 8 + 5z = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 1 + 8 5z = 1 + 8 Combine like terms: 1 + 8 = 9 5z = 9 Divide each side by '5'. z = 1.8 Simplifying z = 1.8
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