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Simplifying 7(d + -1) = 6(8 + -3d) Reorder the terms: 7(-1 + d) = 6(8 + -3d) (-1 * 7 + d * 7) = 6(8 + -3d) (-7 + 7d) = 6(8 + -3d) -7 + 7d = (8 * 6 + -3d * 6) -7 + 7d = (48 + -18d) Solving -7 + 7d = 48 + -18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. -7 + 7d + 18d = 48 + -18d + 18d Combine like terms: 7d + 18d = 25d -7 + 25d = 48 + -18d + 18d Combine like terms: -18d + 18d = 0 -7 + 25d = 48 + 0 -7 + 25d = 48 Add '7' to each side of the equation. -7 + 7 + 25d = 48 + 7 Combine like terms: -7 + 7 = 0 0 + 25d = 48 + 7 25d = 48 + 7 Combine like terms: 48 + 7 = 55 25d = 55 Divide each side by '25'. d = 2.2 Simplifying d = 2.2
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