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Simplifying 6 = 3 + 5(d + 2) Reorder the terms: 6 = 3 + 5(2 + d) 6 = 3 + (2 * 5 + d * 5) 6 = 3 + (10 + 5d) Combine like terms: 3 + 10 = 13 6 = 13 + 5d Solving 6 = 13 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -5d = 13 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -5d = 13 + 0 6 + -5d = 13 Add '-6' to each side of the equation. 6 + -6 + -5d = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -5d = 13 + -6 -5d = 13 + -6 Combine like terms: 13 + -6 = 7 -5d = 7 Divide each side by '-5'. d = -1.4 Simplifying d = -1.4
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