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Simplifying 6(2z + -1) + -5(z + 6) = 4(z + 1) Reorder the terms: 6(-1 + 2z) + -5(z + 6) = 4(z + 1) (-1 * 6 + 2z * 6) + -5(z + 6) = 4(z + 1) (-6 + 12z) + -5(z + 6) = 4(z + 1) Reorder the terms: -6 + 12z + -5(6 + z) = 4(z + 1) -6 + 12z + (6 * -5 + z * -5) = 4(z + 1) -6 + 12z + (-30 + -5z) = 4(z + 1) Reorder the terms: -6 + -30 + 12z + -5z = 4(z + 1) Combine like terms: -6 + -30 = -36 -36 + 12z + -5z = 4(z + 1) Combine like terms: 12z + -5z = 7z -36 + 7z = 4(z + 1) Reorder the terms: -36 + 7z = 4(1 + z) -36 + 7z = (1 * 4 + z * 4) -36 + 7z = (4 + 4z) Solving -36 + 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. -36 + 7z + -4z = 4 + 4z + -4z Combine like terms: 7z + -4z = 3z -36 + 3z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -36 + 3z = 4 + 0 -36 + 3z = 4 Add '36' to each side of the equation. -36 + 36 + 3z = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 3z = 4 + 36 3z = 4 + 36 Combine like terms: 4 + 36 = 40 3z = 40 Divide each side by '3'. z = 13.33333333 Simplifying z = 13.33333333
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