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Simplifying 5(9 + -1d) + -63 = 19d + -6(3 + 4d) (9 * 5 + -1d * 5) + -63 = 19d + -6(3 + 4d) (45 + -5d) + -63 = 19d + -6(3 + 4d) Reorder the terms: 45 + -63 + -5d = 19d + -6(3 + 4d) Combine like terms: 45 + -63 = -18 -18 + -5d = 19d + -6(3 + 4d) -18 + -5d = 19d + (3 * -6 + 4d * -6) -18 + -5d = 19d + (-18 + -24d) Reorder the terms: -18 + -5d = -18 + 19d + -24d Combine like terms: 19d + -24d = -5d -18 + -5d = -18 + -5d Add '18' to each side of the equation. -18 + 18 + -5d = -18 + 18 + -5d Combine like terms: -18 + 18 = 0 0 + -5d = -18 + 18 + -5d -5d = -18 + 18 + -5d Combine like terms: -18 + 18 = 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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