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Simplifying (2q + 1) + -1(3d + 1) = 0 Reorder the terms: (1 + 2q) + -1(3d + 1) = 0 Remove parenthesis around (1 + 2q) 1 + 2q + -1(3d + 1) = 0 Reorder the terms: 1 + 2q + -1(1 + 3d) = 0 1 + 2q + (1 * -1 + 3d * -1) = 0 1 + 2q + (-1 + -3d) = 0 Reorder the terms: 1 + -1 + -3d + 2q = 0 Combine like terms: 1 + -1 = 0 0 + -3d + 2q = 0 -3d + 2q = 0 Solving -3d + 2q = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2q' to each side of the equation. -3d + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 -3d + 0 = 0 + -2q -3d = 0 + -2q Remove the zero: -3d = -2q Divide each side by '-3'. d = 0.6666666667q Simplifying d = 0.6666666667q
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