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Simplifying 13t + -1(5 + -2t) = 5(3t + -1) 13t + (5 * -1 + -2t * -1) = 5(3t + -1) 13t + (-5 + 2t) = 5(3t + -1) Reorder the terms: -5 + 13t + 2t = 5(3t + -1) Combine like terms: 13t + 2t = 15t -5 + 15t = 5(3t + -1) Reorder the terms: -5 + 15t = 5(-1 + 3t) -5 + 15t = (-1 * 5 + 3t * 5) -5 + 15t = (-5 + 15t) Add '5' to each side of the equation. -5 + 5 + 15t = -5 + 5 + 15t Combine like terms: -5 + 5 = 0 0 + 15t = -5 + 5 + 15t 15t = -5 + 5 + 15t Combine like terms: -5 + 5 = 0 15t = 0 + 15t 15t = 15t Add '-15t' to each side of the equation. 15t + -15t = 15t + -15t Combine like terms: 15t + -15t = 0 0 = 15t + -15t Combine like terms: 15t + -15t = 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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