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Simplifying 5[d + -2] + 7 = 65 Reorder the terms: 5[-2 + d] + 7 = 65 [-2 * 5 + d * 5] + 7 = 65 [-10 + 5d] + 7 = 65 Reorder the terms: -10 + 7 + 5d = 65 Combine like terms: -10 + 7 = -3 -3 + 5d = 65 Solving -3 + 5d = 65 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5d = 65 + 3 Combine like terms: -3 + 3 = 0 0 + 5d = 65 + 3 5d = 65 + 3 Combine like terms: 65 + 3 = 68 5d = 68 Divide each side by '5'. d = 13.6 Simplifying d = 13.6
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