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Simplifying 4(8 + -1d) + -50 = 20d + -6(3 + 4d) (8 * 4 + -1d * 4) + -50 = 20d + -6(3 + 4d) (32 + -4d) + -50 = 20d + -6(3 + 4d) Reorder the terms: 32 + -50 + -4d = 20d + -6(3 + 4d) Combine like terms: 32 + -50 = -18 -18 + -4d = 20d + -6(3 + 4d) -18 + -4d = 20d + (3 * -6 + 4d * -6) -18 + -4d = 20d + (-18 + -24d) Reorder the terms: -18 + -4d = -18 + 20d + -24d Combine like terms: 20d + -24d = -4d -18 + -4d = -18 + -4d Add '18' to each side of the equation. -18 + 18 + -4d = -18 + 18 + -4d Combine like terms: -18 + 18 = 0 0 + -4d = -18 + 18 + -4d -4d = -18 + 18 + -4d Combine like terms: -18 + 18 = 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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