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Simplifying (7d + -14) + -1(3d + 18) = 0 Reorder the terms: (-14 + 7d) + -1(3d + 18) = 0 Remove parenthesis around (-14 + 7d) -14 + 7d + -1(3d + 18) = 0 Reorder the terms: -14 + 7d + -1(18 + 3d) = 0 -14 + 7d + (18 * -1 + 3d * -1) = 0 -14 + 7d + (-18 + -3d) = 0 Reorder the terms: -14 + -18 + 7d + -3d = 0 Combine like terms: -14 + -18 = -32 -32 + 7d + -3d = 0 Combine like terms: 7d + -3d = 4d -32 + 4d = 0 Solving -32 + 4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4d = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4d = 0 + 32 4d = 0 + 32 Combine like terms: 0 + 32 = 32 4d = 32 Divide each side by '4'. d = 8 Simplifying d = 8
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