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Simplifying 4(8 + -1d) + -44 = 20d + -6(2 + 4d) (8 * 4 + -1d * 4) + -44 = 20d + -6(2 + 4d) (32 + -4d) + -44 = 20d + -6(2 + 4d) Reorder the terms: 32 + -44 + -4d = 20d + -6(2 + 4d) Combine like terms: 32 + -44 = -12 -12 + -4d = 20d + -6(2 + 4d) -12 + -4d = 20d + (2 * -6 + 4d * -6) -12 + -4d = 20d + (-12 + -24d) Reorder the terms: -12 + -4d = -12 + 20d + -24d Combine like terms: 20d + -24d = -4d -12 + -4d = -12 + -4d Add '12' to each side of the equation. -12 + 12 + -4d = -12 + 12 + -4d Combine like terms: -12 + 12 = 0 0 + -4d = -12 + 12 + -4d -4d = -12 + 12 + -4d Combine like terms: -12 + 12 = 0 -4d = 0 + -4d -4d = -4d Add '4d' to each side of the equation. -4d + 4d = -4d + 4d Combine like terms: -4d + 4d = 0 0 = -4d + 4d Combine like terms: -4d + 4d = 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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