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Simplifying -5(d + 2) + -1d + -3 = -6(d + 3) + 5 Reorder the terms: -5(2 + d) + -1d + -3 = -6(d + 3) + 5 (2 * -5 + d * -5) + -1d + -3 = -6(d + 3) + 5 (-10 + -5d) + -1d + -3 = -6(d + 3) + 5 Reorder the terms: -10 + -3 + -5d + -1d = -6(d + 3) + 5 Combine like terms: -10 + -3 = -13 -13 + -5d + -1d = -6(d + 3) + 5 Combine like terms: -5d + -1d = -6d -13 + -6d = -6(d + 3) + 5 Reorder the terms: -13 + -6d = -6(3 + d) + 5 -13 + -6d = (3 * -6 + d * -6) + 5 -13 + -6d = (-18 + -6d) + 5 Reorder the terms: -13 + -6d = -18 + 5 + -6d Combine like terms: -18 + 5 = -13 -13 + -6d = -13 + -6d Add '13' to each side of the equation. -13 + 13 + -6d = -13 + 13 + -6d Combine like terms: -13 + 13 = 0 0 + -6d = -13 + 13 + -6d -6d = -13 + 13 + -6d Combine like terms: -13 + 13 = 0 -6d = 0 + -6d -6d = -6d Add '6d' to each side of the equation. -6d + 6d = -6d + 6d Combine like terms: -6d + 6d = 0 0 = -6d + 6d Combine like terms: -6d + 6d = 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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