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Simplifying 2(4t + 3) = -17t + 21 + 5(5t + -3) Reorder the terms: 2(3 + 4t) = -17t + 21 + 5(5t + -3) (3 * 2 + 4t * 2) = -17t + 21 + 5(5t + -3) (6 + 8t) = -17t + 21 + 5(5t + -3) Reorder the terms: 6 + 8t = -17t + 21 + 5(-3 + 5t) 6 + 8t = -17t + 21 + (-3 * 5 + 5t * 5) 6 + 8t = -17t + 21 + (-15 + 25t) Reorder the terms: 6 + 8t = 21 + -15 + -17t + 25t Combine like terms: 21 + -15 = 6 6 + 8t = 6 + -17t + 25t Combine like terms: -17t + 25t = 8t 6 + 8t = 6 + 8t Add '-6' to each side of the equation. 6 + -6 + 8t = 6 + -6 + 8t Combine like terms: 6 + -6 = 0 0 + 8t = 6 + -6 + 8t 8t = 6 + -6 + 8t Combine like terms: 6 + -6 = 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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