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Simplifying 15 + -4(d + -3) = 2(d + 5) Reorder the terms: 15 + -4(-3 + d) = 2(d + 5) 15 + (-3 * -4 + d * -4) = 2(d + 5) 15 + (12 + -4d) = 2(d + 5) Combine like terms: 15 + 12 = 27 27 + -4d = 2(d + 5) Reorder the terms: 27 + -4d = 2(5 + d) 27 + -4d = (5 * 2 + d * 2) 27 + -4d = (10 + 2d) Solving 27 + -4d = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 27 + -4d + -2d = 10 + 2d + -2d Combine like terms: -4d + -2d = -6d 27 + -6d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 27 + -6d = 10 + 0 27 + -6d = 10 Add '-27' to each side of the equation. 27 + -27 + -6d = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -6d = 10 + -27 -6d = 10 + -27 Combine like terms: 10 + -27 = -17 -6d = -17 Divide each side by '-6'. d = 2.833333333 Simplifying d = 2.833333333
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