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Simplifying 4(6z + -1) + -4(z + 2) = 7(2 + 1) Reorder the terms: 4(-1 + 6z) + -4(z + 2) = 7(2 + 1) (-1 * 4 + 6z * 4) + -4(z + 2) = 7(2 + 1) (-4 + 24z) + -4(z + 2) = 7(2 + 1) Reorder the terms: -4 + 24z + -4(2 + z) = 7(2 + 1) -4 + 24z + (2 * -4 + z * -4) = 7(2 + 1) -4 + 24z + (-8 + -4z) = 7(2 + 1) Reorder the terms: -4 + -8 + 24z + -4z = 7(2 + 1) Combine like terms: -4 + -8 = -12 -12 + 24z + -4z = 7(2 + 1) Combine like terms: 24z + -4z = 20z -12 + 20z = 7(2 + 1) Combine like terms: 2 + 1 = 3 -12 + 20z = 7(3) Multiply 7 * 3 -12 + 20z = 21 Solving -12 + 20z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 20z = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 20z = 21 + 12 20z = 21 + 12 Combine like terms: 21 + 12 = 33 20z = 33 Divide each side by '20'. z = 1.65 Simplifying z = 1.65
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