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Simplifying 9(d + 5) = 3(d + -3) * 6 + d Reorder the terms: 9(5 + d) = 3(d + -3) * 6 + d (5 * 9 + d * 9) = 3(d + -3) * 6 + d (45 + 9d) = 3(d + -3) * 6 + d Reorder the terms: 45 + 9d = 3(-3 + d) * 6 + d Reorder the terms for easier multiplication: 45 + 9d = 3 * 6(-3 + d) + d Multiply 3 * 6 45 + 9d = 18(-3 + d) + d 45 + 9d = (-3 * 18 + d * 18) + d 45 + 9d = (-54 + 18d) + d Combine like terms: 18d + d = 19d 45 + 9d = -54 + 19d Solving 45 + 9d = -54 + 19d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19d' to each side of the equation. 45 + 9d + -19d = -54 + 19d + -19d Combine like terms: 9d + -19d = -10d 45 + -10d = -54 + 19d + -19d Combine like terms: 19d + -19d = 0 45 + -10d = -54 + 0 45 + -10d = -54 Add '-45' to each side of the equation. 45 + -45 + -10d = -54 + -45 Combine like terms: 45 + -45 = 0 0 + -10d = -54 + -45 -10d = -54 + -45 Combine like terms: -54 + -45 = -99 -10d = -99 Divide each side by '-10'. d = 9.9 Simplifying d = 9.9
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