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Simplifying 4v + 16(v + -1) = -31 + 5(4v + 3) Reorder the terms: 4v + 16(-1 + v) = -31 + 5(4v + 3) 4v + (-1 * 16 + v * 16) = -31 + 5(4v + 3) 4v + (-16 + 16v) = -31 + 5(4v + 3) Reorder the terms: -16 + 4v + 16v = -31 + 5(4v + 3) Combine like terms: 4v + 16v = 20v -16 + 20v = -31 + 5(4v + 3) Reorder the terms: -16 + 20v = -31 + 5(3 + 4v) -16 + 20v = -31 + (3 * 5 + 4v * 5) -16 + 20v = -31 + (15 + 20v) Combine like terms: -31 + 15 = -16 -16 + 20v = -16 + 20v Add '16' to each side of the equation. -16 + 16 + 20v = -16 + 16 + 20v Combine like terms: -16 + 16 = 0 0 + 20v = -16 + 16 + 20v 20v = -16 + 16 + 20v Combine like terms: -16 + 16 = 0 20v = 0 + 20v 20v = 20v Add '-20v' to each side of the equation. 20v + -20v = 20v + -20v Combine like terms: 20v + -20v = 0 0 = 20v + -20v Combine like terms: 20v + -20v = 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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