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Simplifying 12 + 11d = -18 + -4d Solving 12 + 11d = -18 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 12 + 11d + 4d = -18 + -4d + 4d Combine like terms: 11d + 4d = 15d 12 + 15d = -18 + -4d + 4d Combine like terms: -4d + 4d = 0 12 + 15d = -18 + 0 12 + 15d = -18 Add '-12' to each side of the equation. 12 + -12 + 15d = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 15d = -18 + -12 15d = -18 + -12 Combine like terms: -18 + -12 = -30 15d = -30 Divide each side by '15'. d = -2 Simplifying d = -2
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