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Simplifying -5(d + 1) + -1d + -12 = -6(d + 5) + 13 Reorder the terms: -5(1 + d) + -1d + -12 = -6(d + 5) + 13 (1 * -5 + d * -5) + -1d + -12 = -6(d + 5) + 13 (-5 + -5d) + -1d + -12 = -6(d + 5) + 13 Reorder the terms: -5 + -12 + -5d + -1d = -6(d + 5) + 13 Combine like terms: -5 + -12 = -17 -17 + -5d + -1d = -6(d + 5) + 13 Combine like terms: -5d + -1d = -6d -17 + -6d = -6(d + 5) + 13 Reorder the terms: -17 + -6d = -6(5 + d) + 13 -17 + -6d = (5 * -6 + d * -6) + 13 -17 + -6d = (-30 + -6d) + 13 Reorder the terms: -17 + -6d = -30 + 13 + -6d Combine like terms: -30 + 13 = -17 -17 + -6d = -17 + -6d Add '17' to each side of the equation. -17 + 17 + -6d = -17 + 17 + -6d Combine like terms: -17 + 17 = 0 0 + -6d = -17 + 17 + -6d -6d = -17 + 17 + -6d Combine like terms: -17 + 17 = 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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