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Simplifying 4(3 + d) = 9 + -5(3 + d) (3 * 4 + d * 4) = 9 + -5(3 + d) (12 + 4d) = 9 + -5(3 + d) 12 + 4d = 9 + (3 * -5 + d * -5) 12 + 4d = 9 + (-15 + -5d) Combine like terms: 9 + -15 = -6 12 + 4d = -6 + -5d Solving 12 + 4d = -6 + -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. 12 + 4d + 5d = -6 + -5d + 5d Combine like terms: 4d + 5d = 9d 12 + 9d = -6 + -5d + 5d Combine like terms: -5d + 5d = 0 12 + 9d = -6 + 0 12 + 9d = -6 Add '-12' to each side of the equation. 12 + -12 + 9d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9d = -6 + -12 9d = -6 + -12 Combine like terms: -6 + -12 = -18 9d = -18 Divide each side by '9'. d = -2 Simplifying d = -2
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