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Simplifying 15 = -7 + 9(d + -3) Reorder the terms: 15 = -7 + 9(-3 + d) 15 = -7 + (-3 * 9 + d * 9) 15 = -7 + (-27 + 9d) Combine like terms: -7 + -27 = -34 15 = -34 + 9d Solving 15 = -34 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 15 + -9d = -34 + 9d + -9d Combine like terms: 9d + -9d = 0 15 + -9d = -34 + 0 15 + -9d = -34 Add '-15' to each side of the equation. 15 + -15 + -9d = -34 + -15 Combine like terms: 15 + -15 = 0 0 + -9d = -34 + -15 -9d = -34 + -15 Combine like terms: -34 + -15 = -49 -9d = -49 Divide each side by '-9'. d = 5.444444444 Simplifying d = 5.444444444
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