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Simplifying 6(d + 1) + -2 = d + 7 Reorder the terms: 6(1 + d) + -2 = d + 7 (1 * 6 + d * 6) + -2 = d + 7 (6 + 6d) + -2 = d + 7 Reorder the terms: 6 + -2 + 6d = d + 7 Combine like terms: 6 + -2 = 4 4 + 6d = d + 7 Reorder the terms: 4 + 6d = 7 + d Solving 4 + 6d = 7 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 4 + 6d + -1d = 7 + d + -1d Combine like terms: 6d + -1d = 5d 4 + 5d = 7 + d + -1d Combine like terms: d + -1d = 0 4 + 5d = 7 + 0 4 + 5d = 7 Add '-4' to each side of the equation. 4 + -4 + 5d = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = 7 + -4 5d = 7 + -4 Combine like terms: 7 + -4 = 3 5d = 3 Divide each side by '5'. d = 0.6 Simplifying d = 0.6
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