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