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Simplifying -6(d + 1) + -1d + -12 = -7(d + 5) + 17 Reorder the terms: -6(1 + d) + -1d + -12 = -7(d + 5) + 17 (1 * -6 + d * -6) + -1d + -12 = -7(d + 5) + 17 (-6 + -6d) + -1d + -12 = -7(d + 5) + 17 Reorder the terms: -6 + -12 + -6d + -1d = -7(d + 5) + 17 Combine like terms: -6 + -12 = -18 -18 + -6d + -1d = -7(d + 5) + 17 Combine like terms: -6d + -1d = -7d -18 + -7d = -7(d + 5) + 17 Reorder the terms: -18 + -7d = -7(5 + d) + 17 -18 + -7d = (5 * -7 + d * -7) + 17 -18 + -7d = (-35 + -7d) + 17 Reorder the terms: -18 + -7d = -35 + 17 + -7d Combine like terms: -35 + 17 = -18 -18 + -7d = -18 + -7d Add '18' to each side of the equation. -18 + 18 + -7d = -18 + 18 + -7d Combine like terms: -18 + 18 = 0 0 + -7d = -18 + 18 + -7d -7d = -18 + 18 + -7d Combine like terms: -18 + 18 = 0 -7d = 0 + -7d -7d = -7d Add '7d' to each side of the equation. -7d + 7d = -7d + 7d Combine like terms: -7d + 7d = 0 0 = -7d + 7d Combine like terms: -7d + 7d = 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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