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Simplifying 5t + 7 = 7(t + 1) + -2t Reorder the terms: 7 + 5t = 7(t + 1) + -2t Reorder the terms: 7 + 5t = 7(1 + t) + -2t 7 + 5t = (1 * 7 + t * 7) + -2t 7 + 5t = (7 + 7t) + -2t Combine like terms: 7t + -2t = 5t 7 + 5t = 7 + 5t Add '-7' to each side of the equation. 7 + -7 + 5t = 7 + -7 + 5t Combine like terms: 7 + -7 = 0 0 + 5t = 7 + -7 + 5t 5t = 7 + -7 + 5t Combine like terms: 7 + -7 = 0 5t = 0 + 5t 5t = 5t Add '-5t' to each side of the equation. 5t + -5t = 5t + -5t Combine like terms: 5t + -5t = 0 0 = 5t + -5t Combine like terms: 5t + -5t = 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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