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Simplifying (14d + -7) + 5(2 + -3d) = 2d Reorder the terms: (-7 + 14d) + 5(2 + -3d) = 2d Remove parenthesis around (-7 + 14d) -7 + 14d + 5(2 + -3d) = 2d -7 + 14d + (2 * 5 + -3d * 5) = 2d -7 + 14d + (10 + -15d) = 2d Reorder the terms: -7 + 10 + 14d + -15d = 2d Combine like terms: -7 + 10 = 3 3 + 14d + -15d = 2d Combine like terms: 14d + -15d = -1d 3 + -1d = 2d Solving 3 + -1d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 3 + -1d + -2d = 2d + -2d Combine like terms: -1d + -2d = -3d 3 + -3d = 2d + -2d Combine like terms: 2d + -2d = 0 3 + -3d = 0 Add '-3' to each side of the equation. 3 + -3 + -3d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = 0 + -3 -3d = 0 + -3 Combine like terms: 0 + -3 = -3 -3d = -3 Divide each side by '-3'. d = 1 Simplifying d = 1
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