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Simplifying 2(6z + -1) + -5(z + 4) = 2(z + 1) Reorder the terms: 2(-1 + 6z) + -5(z + 4) = 2(z + 1) (-1 * 2 + 6z * 2) + -5(z + 4) = 2(z + 1) (-2 + 12z) + -5(z + 4) = 2(z + 1) Reorder the terms: -2 + 12z + -5(4 + z) = 2(z + 1) -2 + 12z + (4 * -5 + z * -5) = 2(z + 1) -2 + 12z + (-20 + -5z) = 2(z + 1) Reorder the terms: -2 + -20 + 12z + -5z = 2(z + 1) Combine like terms: -2 + -20 = -22 -22 + 12z + -5z = 2(z + 1) Combine like terms: 12z + -5z = 7z -22 + 7z = 2(z + 1) Reorder the terms: -22 + 7z = 2(1 + z) -22 + 7z = (1 * 2 + z * 2) -22 + 7z = (2 + 2z) Solving -22 + 7z = 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. -22 + 7z + -2z = 2 + 2z + -2z Combine like terms: 7z + -2z = 5z -22 + 5z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -22 + 5z = 2 + 0 -22 + 5z = 2 Add '22' to each side of the equation. -22 + 22 + 5z = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 2 + 22 5z = 2 + 22 Combine like terms: 2 + 22 = 24 5z = 24 Divide each side by '5'. z = 4.8 Simplifying z = 4.8
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