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Simplifying 5(2t + 1) + -8 = 4t + -3(1 + -2t) Reorder the terms: 5(1 + 2t) + -8 = 4t + -3(1 + -2t) (1 * 5 + 2t * 5) + -8 = 4t + -3(1 + -2t) (5 + 10t) + -8 = 4t + -3(1 + -2t) Reorder the terms: 5 + -8 + 10t = 4t + -3(1 + -2t) Combine like terms: 5 + -8 = -3 -3 + 10t = 4t + -3(1 + -2t) -3 + 10t = 4t + (1 * -3 + -2t * -3) -3 + 10t = 4t + (-3 + 6t) Reorder the terms: -3 + 10t = -3 + 4t + 6t Combine like terms: 4t + 6t = 10t -3 + 10t = -3 + 10t Add '3' to each side of the equation. -3 + 3 + 10t = -3 + 3 + 10t Combine like terms: -3 + 3 = 0 0 + 10t = -3 + 3 + 10t 10t = -3 + 3 + 10t Combine like terms: -3 + 3 = 0 10t = 0 + 10t 10t = 10t Add '-10t' to each side of the equation. 10t + -10t = 10t + -10t Combine like terms: 10t + -10t = 0 0 = 10t + -10t Combine like terms: 10t + -10t = 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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