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Simplifying 4d + -5(d + -1) = 3 + -1d + 2 Reorder the terms: 4d + -5(-1 + d) = 3 + -1d + 2 4d + (-1 * -5 + d * -5) = 3 + -1d + 2 4d + (5 + -5d) = 3 + -1d + 2 Reorder the terms: 5 + 4d + -5d = 3 + -1d + 2 Combine like terms: 4d + -5d = -1d 5 + -1d = 3 + -1d + 2 Reorder the terms: 5 + -1d = 3 + 2 + -1d Combine like terms: 3 + 2 = 5 5 + -1d = 5 + -1d Add '-5' to each side of the equation. 5 + -5 + -1d = 5 + -5 + -1d Combine like terms: 5 + -5 = 0 0 + -1d = 5 + -5 + -1d -1d = 5 + -5 + -1d Combine like terms: 5 + -5 = 0 -1d = 0 + -1d -1d = -1d Add 'd' to each side of the equation. -1d + d = -1d + d Combine like terms: -1d + d = 0 0 = -1d + d Combine like terms: -1d + d = 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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