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Simplifying -2(d + 3) + -1d + -5 = -3(d + 5) + 4 Reorder the terms: -2(3 + d) + -1d + -5 = -3(d + 5) + 4 (3 * -2 + d * -2) + -1d + -5 = -3(d + 5) + 4 (-6 + -2d) + -1d + -5 = -3(d + 5) + 4 Reorder the terms: -6 + -5 + -2d + -1d = -3(d + 5) + 4 Combine like terms: -6 + -5 = -11 -11 + -2d + -1d = -3(d + 5) + 4 Combine like terms: -2d + -1d = -3d -11 + -3d = -3(d + 5) + 4 Reorder the terms: -11 + -3d = -3(5 + d) + 4 -11 + -3d = (5 * -3 + d * -3) + 4 -11 + -3d = (-15 + -3d) + 4 Reorder the terms: -11 + -3d = -15 + 4 + -3d Combine like terms: -15 + 4 = -11 -11 + -3d = -11 + -3d Add '11' to each side of the equation. -11 + 11 + -3d = -11 + 11 + -3d Combine like terms: -11 + 11 = 0 0 + -3d = -11 + 11 + -3d -3d = -11 + 11 + -3d Combine like terms: -11 + 11 = 0 -3d = 0 + -3d -3d = -3d Add '3d' to each side of the equation. -3d + 3d = -3d + 3d Combine like terms: -3d + 3d = 0 0 = -3d + 3d Combine like terms: -3d + 3d = 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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