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Simplifying 6(3z + -1) + -4(z + 8) = 9(z + 1) Reorder the terms: 6(-1 + 3z) + -4(z + 8) = 9(z + 1) (-1 * 6 + 3z * 6) + -4(z + 8) = 9(z + 1) (-6 + 18z) + -4(z + 8) = 9(z + 1) Reorder the terms: -6 + 18z + -4(8 + z) = 9(z + 1) -6 + 18z + (8 * -4 + z * -4) = 9(z + 1) -6 + 18z + (-32 + -4z) = 9(z + 1) Reorder the terms: -6 + -32 + 18z + -4z = 9(z + 1) Combine like terms: -6 + -32 = -38 -38 + 18z + -4z = 9(z + 1) Combine like terms: 18z + -4z = 14z -38 + 14z = 9(z + 1) Reorder the terms: -38 + 14z = 9(1 + z) -38 + 14z = (1 * 9 + z * 9) -38 + 14z = (9 + 9z) Solving -38 + 14z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -38 + 14z + -9z = 9 + 9z + -9z Combine like terms: 14z + -9z = 5z -38 + 5z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -38 + 5z = 9 + 0 -38 + 5z = 9 Add '38' to each side of the equation. -38 + 38 + 5z = 9 + 38 Combine like terms: -38 + 38 = 0 0 + 5z = 9 + 38 5z = 9 + 38 Combine like terms: 9 + 38 = 47 5z = 47 Divide each side by '5'. z = 9.4 Simplifying z = 9.4
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