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Simplifying 2(6z + -1) + -5(z + 4) = 4(z + 1) Reorder the terms: 2(-1 + 6z) + -5(z + 4) = 4(z + 1) (-1 * 2 + 6z * 2) + -5(z + 4) = 4(z + 1) (-2 + 12z) + -5(z + 4) = 4(z + 1) Reorder the terms: -2 + 12z + -5(4 + z) = 4(z + 1) -2 + 12z + (4 * -5 + z * -5) = 4(z + 1) -2 + 12z + (-20 + -5z) = 4(z + 1) Reorder the terms: -2 + -20 + 12z + -5z = 4(z + 1) Combine like terms: -2 + -20 = -22 -22 + 12z + -5z = 4(z + 1) Combine like terms: 12z + -5z = 7z -22 + 7z = 4(z + 1) Reorder the terms: -22 + 7z = 4(1 + z) -22 + 7z = (1 * 4 + z * 4) -22 + 7z = (4 + 4z) Solving -22 + 7z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -22 + 7z + -4z = 4 + 4z + -4z Combine like terms: 7z + -4z = 3z -22 + 3z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -22 + 3z = 4 + 0 -22 + 3z = 4 Add '22' to each side of the equation. -22 + 22 + 3z = 4 + 22 Combine like terms: -22 + 22 = 0 0 + 3z = 4 + 22 3z = 4 + 22 Combine like terms: 4 + 22 = 26 3z = 26 Divide each side by '3'. z = 8.666666667 Simplifying z = 8.666666667
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