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Simplifying 7(d + -2) + -2d = 4d + -5 Reorder the terms: 7(-2 + d) + -2d = 4d + -5 (-2 * 7 + d * 7) + -2d = 4d + -5 (-14 + 7d) + -2d = 4d + -5 Combine like terms: 7d + -2d = 5d -14 + 5d = 4d + -5 Reorder the terms: -14 + 5d = -5 + 4d Solving -14 + 5d = -5 + 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. -14 + 5d + -4d = -5 + 4d + -4d Combine like terms: 5d + -4d = 1d -14 + 1d = -5 + 4d + -4d Combine like terms: 4d + -4d = 0 -14 + 1d = -5 + 0 -14 + 1d = -5 Add '14' to each side of the equation. -14 + 14 + 1d = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 1d = -5 + 14 1d = -5 + 14 Combine like terms: -5 + 14 = 9 1d = 9 Divide each side by '1'. d = 9 Simplifying d = 9
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