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Simplifying 4(z + 6) + -2(z + -4) = 40 Reorder the terms: 4(6 + z) + -2(z + -4) = 40 (6 * 4 + z * 4) + -2(z + -4) = 40 (24 + 4z) + -2(z + -4) = 40 Reorder the terms: 24 + 4z + -2(-4 + z) = 40 24 + 4z + (-4 * -2 + z * -2) = 40 24 + 4z + (8 + -2z) = 40 Reorder the terms: 24 + 8 + 4z + -2z = 40 Combine like terms: 24 + 8 = 32 32 + 4z + -2z = 40 Combine like terms: 4z + -2z = 2z 32 + 2z = 40 Solving 32 + 2z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2z = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 2z = 40 + -32 2z = 40 + -32 Combine like terms: 40 + -32 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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