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Simplifying 4(3z + -1) + -3(z + 7) = 2(z + 1) Reorder the terms: 4(-1 + 3z) + -3(z + 7) = 2(z + 1) (-1 * 4 + 3z * 4) + -3(z + 7) = 2(z + 1) (-4 + 12z) + -3(z + 7) = 2(z + 1) Reorder the terms: -4 + 12z + -3(7 + z) = 2(z + 1) -4 + 12z + (7 * -3 + z * -3) = 2(z + 1) -4 + 12z + (-21 + -3z) = 2(z + 1) Reorder the terms: -4 + -21 + 12z + -3z = 2(z + 1) Combine like terms: -4 + -21 = -25 -25 + 12z + -3z = 2(z + 1) Combine like terms: 12z + -3z = 9z -25 + 9z = 2(z + 1) Reorder the terms: -25 + 9z = 2(1 + z) -25 + 9z = (1 * 2 + z * 2) -25 + 9z = (2 + 2z) Solving -25 + 9z = 2 + 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. -25 + 9z + -2z = 2 + 2z + -2z Combine like terms: 9z + -2z = 7z -25 + 7z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -25 + 7z = 2 + 0 -25 + 7z = 2 Add '25' to each side of the equation. -25 + 25 + 7z = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 7z = 2 + 25 7z = 2 + 25 Combine like terms: 2 + 25 = 27 7z = 27 Divide each side by '7'. z = 3.857142857 Simplifying z = 3.857142857
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