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Simplifying -7(d + 1) + -1d + -12 = -8(d + 3) + 5 Reorder the terms: -7(1 + d) + -1d + -12 = -8(d + 3) + 5 (1 * -7 + d * -7) + -1d + -12 = -8(d + 3) + 5 (-7 + -7d) + -1d + -12 = -8(d + 3) + 5 Reorder the terms: -7 + -12 + -7d + -1d = -8(d + 3) + 5 Combine like terms: -7 + -12 = -19 -19 + -7d + -1d = -8(d + 3) + 5 Combine like terms: -7d + -1d = -8d -19 + -8d = -8(d + 3) + 5 Reorder the terms: -19 + -8d = -8(3 + d) + 5 -19 + -8d = (3 * -8 + d * -8) + 5 -19 + -8d = (-24 + -8d) + 5 Reorder the terms: -19 + -8d = -24 + 5 + -8d Combine like terms: -24 + 5 = -19 -19 + -8d = -19 + -8d Add '19' to each side of the equation. -19 + 19 + -8d = -19 + 19 + -8d Combine like terms: -19 + 19 = 0 0 + -8d = -19 + 19 + -8d -8d = -19 + 19 + -8d Combine like terms: -19 + 19 = 0 -8d = 0 + -8d -8d = -8d Add '8d' to each side of the equation. -8d + 8d = -8d + 8d Combine like terms: -8d + 8d = 0 0 = -8d + 8d Combine like terms: -8d + 8d = 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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