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Simplifying 4(6z + -1) + -4(z + 1) = 5(2 + 1) Reorder the terms: 4(-1 + 6z) + -4(z + 1) = 5(2 + 1) (-1 * 4 + 6z * 4) + -4(z + 1) = 5(2 + 1) (-4 + 24z) + -4(z + 1) = 5(2 + 1) Reorder the terms: -4 + 24z + -4(1 + z) = 5(2 + 1) -4 + 24z + (1 * -4 + z * -4) = 5(2 + 1) -4 + 24z + (-4 + -4z) = 5(2 + 1) Reorder the terms: -4 + -4 + 24z + -4z = 5(2 + 1) Combine like terms: -4 + -4 = -8 -8 + 24z + -4z = 5(2 + 1) Combine like terms: 24z + -4z = 20z -8 + 20z = 5(2 + 1) Combine like terms: 2 + 1 = 3 -8 + 20z = 5(3) Multiply 5 * 3 -8 + 20z = 15 Solving -8 + 20z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20z = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 20z = 15 + 8 20z = 15 + 8 Combine like terms: 15 + 8 = 23 20z = 23 Divide each side by '20'. z = 1.15 Simplifying z = 1.15
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