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Simplifying 7(d + -2) = 3(4 + -2d) Reorder the terms: 7(-2 + d) = 3(4 + -2d) (-2 * 7 + d * 7) = 3(4 + -2d) (-14 + 7d) = 3(4 + -2d) -14 + 7d = (4 * 3 + -2d * 3) -14 + 7d = (12 + -6d) Solving -14 + 7d = 12 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. -14 + 7d + 6d = 12 + -6d + 6d Combine like terms: 7d + 6d = 13d -14 + 13d = 12 + -6d + 6d Combine like terms: -6d + 6d = 0 -14 + 13d = 12 + 0 -14 + 13d = 12 Add '14' to each side of the equation. -14 + 14 + 13d = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 13d = 12 + 14 13d = 12 + 14 Combine like terms: 12 + 14 = 26 13d = 26 Divide each side by '13'. d = 2 Simplifying d = 2
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