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Simplifying 6 + -5(4d + -3) = 7(3 + -4d) + 8d Reorder the terms: 6 + -5(-3 + 4d) = 7(3 + -4d) + 8d 6 + (-3 * -5 + 4d * -5) = 7(3 + -4d) + 8d 6 + (15 + -20d) = 7(3 + -4d) + 8d Combine like terms: 6 + 15 = 21 21 + -20d = 7(3 + -4d) + 8d 21 + -20d = (3 * 7 + -4d * 7) + 8d 21 + -20d = (21 + -28d) + 8d Combine like terms: -28d + 8d = -20d 21 + -20d = 21 + -20d Add '-21' to each side of the equation. 21 + -21 + -20d = 21 + -21 + -20d Combine like terms: 21 + -21 = 0 0 + -20d = 21 + -21 + -20d -20d = 21 + -21 + -20d Combine like terms: 21 + -21 = 0 -20d = 0 + -20d -20d = -20d Add '20d' to each side of the equation. -20d + 20d = -20d + 20d Combine like terms: -20d + 20d = 0 0 = -20d + 20d Combine like terms: -20d + 20d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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