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Simplifying 7[d + -5] + 12 = 5 Reorder the terms: 7[-5 + d] + 12 = 5 [-5 * 7 + d * 7] + 12 = 5 [-35 + 7d] + 12 = 5 Reorder the terms: -35 + 12 + 7d = 5 Combine like terms: -35 + 12 = -23 -23 + 7d = 5 Solving -23 + 7d = 5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 7d = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 7d = 5 + 23 7d = 5 + 23 Combine like terms: 5 + 23 = 28 7d = 28 Divide each side by '7'. d = 4 Simplifying d = 4
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