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Simplifying 4(6z + -1) + -5(z + 2) = 2(2 + 1) Reorder the terms: 4(-1 + 6z) + -5(z + 2) = 2(2 + 1) (-1 * 4 + 6z * 4) + -5(z + 2) = 2(2 + 1) (-4 + 24z) + -5(z + 2) = 2(2 + 1) Reorder the terms: -4 + 24z + -5(2 + z) = 2(2 + 1) -4 + 24z + (2 * -5 + z * -5) = 2(2 + 1) -4 + 24z + (-10 + -5z) = 2(2 + 1) Reorder the terms: -4 + -10 + 24z + -5z = 2(2 + 1) Combine like terms: -4 + -10 = -14 -14 + 24z + -5z = 2(2 + 1) Combine like terms: 24z + -5z = 19z -14 + 19z = 2(2 + 1) Combine like terms: 2 + 1 = 3 -14 + 19z = 2(3) Multiply 2 * 3 -14 + 19z = 6 Solving -14 + 19z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 19z = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 19z = 6 + 14 19z = 6 + 14 Combine like terms: 6 + 14 = 20 19z = 20 Divide each side by '19'. z = 1.052631579 Simplifying z = 1.052631579
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