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Simplifying -10d + 2 + 3(d + -5) = -4(2d + 3) + -1(-1d + 1) Reorder the terms: -10d + 2 + 3(-5 + d) = -4(2d + 3) + -1(-1d + 1) -10d + 2 + (-5 * 3 + d * 3) = -4(2d + 3) + -1(-1d + 1) -10d + 2 + (-15 + 3d) = -4(2d + 3) + -1(-1d + 1) Reorder the terms: 2 + -15 + -10d + 3d = -4(2d + 3) + -1(-1d + 1) Combine like terms: 2 + -15 = -13 -13 + -10d + 3d = -4(2d + 3) + -1(-1d + 1) Combine like terms: -10d + 3d = -7d -13 + -7d = -4(2d + 3) + -1(-1d + 1) Reorder the terms: -13 + -7d = -4(3 + 2d) + -1(-1d + 1) -13 + -7d = (3 * -4 + 2d * -4) + -1(-1d + 1) -13 + -7d = (-12 + -8d) + -1(-1d + 1) Reorder the terms: -13 + -7d = -12 + -8d + -1(1 + -1d) -13 + -7d = -12 + -8d + (1 * -1 + -1d * -1) -13 + -7d = -12 + -8d + (-1 + 1d) Reorder the terms: -13 + -7d = -12 + -1 + -8d + 1d Combine like terms: -12 + -1 = -13 -13 + -7d = -13 + -8d + 1d Combine like terms: -8d + 1d = -7d -13 + -7d = -13 + -7d Add '13' to each side of the equation. -13 + 13 + -7d = -13 + 13 + -7d Combine like terms: -13 + 13 = 0 0 + -7d = -13 + 13 + -7d -7d = -13 + 13 + -7d Combine like terms: -13 + 13 = 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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