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Simplifying 4(d + 4) + 5(d + -3) = 46 Reorder the terms: 4(4 + d) + 5(d + -3) = 46 (4 * 4 + d * 4) + 5(d + -3) = 46 (16 + 4d) + 5(d + -3) = 46 Reorder the terms: 16 + 4d + 5(-3 + d) = 46 16 + 4d + (-3 * 5 + d * 5) = 46 16 + 4d + (-15 + 5d) = 46 Reorder the terms: 16 + -15 + 4d + 5d = 46 Combine like terms: 16 + -15 = 1 1 + 4d + 5d = 46 Combine like terms: 4d + 5d = 9d 1 + 9d = 46 Solving 1 + 9d = 46 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9d = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9d = 46 + -1 9d = 46 + -1 Combine like terms: 46 + -1 = 45 9d = 45 Divide each side by '9'. d = 5 Simplifying d = 5
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