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Simplifying 4(6z + -1) + -2(z + 9) = 13(2 + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 9) = 13(2 + 1) (-1 * 4 + 6z * 4) + -2(z + 9) = 13(2 + 1) (-4 + 24z) + -2(z + 9) = 13(2 + 1) Reorder the terms: -4 + 24z + -2(9 + z) = 13(2 + 1) -4 + 24z + (9 * -2 + z * -2) = 13(2 + 1) -4 + 24z + (-18 + -2z) = 13(2 + 1) Reorder the terms: -4 + -18 + 24z + -2z = 13(2 + 1) Combine like terms: -4 + -18 = -22 -22 + 24z + -2z = 13(2 + 1) Combine like terms: 24z + -2z = 22z -22 + 22z = 13(2 + 1) Combine like terms: 2 + 1 = 3 -22 + 22z = 13(3) Multiply 13 * 3 -22 + 22z = 39 Solving -22 + 22z = 39 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 22z = 39 + 22 Combine like terms: -22 + 22 = 0 0 + 22z = 39 + 22 22z = 39 + 22 Combine like terms: 39 + 22 = 61 22z = 61 Divide each side by '22'. z = 2.772727273 Simplifying z = 2.772727273
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