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Simplifying 5(z + 7) + -4(z + -15) = 40 Reorder the terms: 5(7 + z) + -4(z + -15) = 40 (7 * 5 + z * 5) + -4(z + -15) = 40 (35 + 5z) + -4(z + -15) = 40 Reorder the terms: 35 + 5z + -4(-15 + z) = 40 35 + 5z + (-15 * -4 + z * -4) = 40 35 + 5z + (60 + -4z) = 40 Reorder the terms: 35 + 60 + 5z + -4z = 40 Combine like terms: 35 + 60 = 95 95 + 5z + -4z = 40 Combine like terms: 5z + -4z = 1z 95 + 1z = 40 Solving 95 + 1z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 1z = 40 + -95 Combine like terms: 95 + -95 = 0 0 + 1z = 40 + -95 1z = 40 + -95 Combine like terms: 40 + -95 = -55 1z = -55 Divide each side by '1'. z = -55 Simplifying z = -55
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