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Simplifying -4(d + 3) + -1d + -2 = -5(d + 5) + 11 Reorder the terms: -4(3 + d) + -1d + -2 = -5(d + 5) + 11 (3 * -4 + d * -4) + -1d + -2 = -5(d + 5) + 11 (-12 + -4d) + -1d + -2 = -5(d + 5) + 11 Reorder the terms: -12 + -2 + -4d + -1d = -5(d + 5) + 11 Combine like terms: -12 + -2 = -14 -14 + -4d + -1d = -5(d + 5) + 11 Combine like terms: -4d + -1d = -5d -14 + -5d = -5(d + 5) + 11 Reorder the terms: -14 + -5d = -5(5 + d) + 11 -14 + -5d = (5 * -5 + d * -5) + 11 -14 + -5d = (-25 + -5d) + 11 Reorder the terms: -14 + -5d = -25 + 11 + -5d Combine like terms: -25 + 11 = -14 -14 + -5d = -14 + -5d Add '14' to each side of the equation. -14 + 14 + -5d = -14 + 14 + -5d Combine like terms: -14 + 14 = 0 0 + -5d = -14 + 14 + -5d -5d = -14 + 14 + -5d Combine like terms: -14 + 14 = 0 -5d = 0 + -5d -5d = -5d Add '5d' to each side of the equation. -5d + 5d = -5d + 5d Combine like terms: -5d + 5d = 0 0 = -5d + 5d Combine like terms: -5d + 5d = 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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