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Simplifying 5t + 6 + 3(t + 2) = (5 + 3) * t + 12 Reorder the terms: 5t + 6 + 3(2 + t) = (5 + 3) * t + 12 5t + 6 + (2 * 3 + t * 3) = (5 + 3) * t + 12 5t + 6 + (6 + 3t) = (5 + 3) * t + 12 Reorder the terms: 6 + 6 + 5t + 3t = (5 + 3) * t + 12 Combine like terms: 6 + 6 = 12 12 + 5t + 3t = (5 + 3) * t + 12 Combine like terms: 5t + 3t = 8t 12 + 8t = (5 + 3) * t + 12 Combine like terms: 5 + 3 = 8 12 + 8t = (8) * t + 12 Reorder the terms: 12 + 8t = 12 + 8t Add '-12' to each side of the equation. 12 + -12 + 8t = 12 + -12 + 8t Combine like terms: 12 + -12 = 0 0 + 8t = 12 + -12 + 8t 8t = 12 + -12 + 8t Combine like terms: 12 + -12 = 0 8t = 0 + 8t 8t = 8t Add '-8t' to each side of the equation. 8t + -8t = 8t + -8t Combine like terms: 8t + -8t = 0 0 = 8t + -8t Combine like terms: 8t + -8t = 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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