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Simplifying (7t + -2) + -1(-3t + 1) = -2(1 + -5t) + -1 Reorder the terms: (-2 + 7t) + -1(-3t + 1) = -2(1 + -5t) + -1 Remove parenthesis around (-2 + 7t) -2 + 7t + -1(-3t + 1) = -2(1 + -5t) + -1 Reorder the terms: -2 + 7t + -1(1 + -3t) = -2(1 + -5t) + -1 -2 + 7t + (1 * -1 + -3t * -1) = -2(1 + -5t) + -1 -2 + 7t + (-1 + 3t) = -2(1 + -5t) + -1 Reorder the terms: -2 + -1 + 7t + 3t = -2(1 + -5t) + -1 Combine like terms: -2 + -1 = -3 -3 + 7t + 3t = -2(1 + -5t) + -1 Combine like terms: 7t + 3t = 10t -3 + 10t = -2(1 + -5t) + -1 -3 + 10t = (1 * -2 + -5t * -2) + -1 -3 + 10t = (-2 + 10t) + -1 Reorder the terms: -3 + 10t = -2 + -1 + 10t Combine like terms: -2 + -1 = -3 -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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