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Simplifying 8 + -1(4 + 3t) + 2 = 3t + 2(7 + -3t) 8 + (4 * -1 + 3t * -1) + 2 = 3t + 2(7 + -3t) 8 + (-4 + -3t) + 2 = 3t + 2(7 + -3t) Reorder the terms: 8 + -4 + 2 + -3t = 3t + 2(7 + -3t) Combine like terms: 8 + -4 = 4 4 + 2 + -3t = 3t + 2(7 + -3t) Combine like terms: 4 + 2 = 6 6 + -3t = 3t + 2(7 + -3t) 6 + -3t = 3t + (7 * 2 + -3t * 2) 6 + -3t = 3t + (14 + -6t) Reorder the terms: 6 + -3t = 14 + 3t + -6t Combine like terms: 3t + -6t = -3t 6 + -3t = 14 + -3t Add '3t' to each side of the equation. 6 + -3t + 3t = 14 + -3t + 3t Combine like terms: -3t + 3t = 0 6 + 0 = 14 + -3t + 3t 6 = 14 + -3t + 3t Combine like terms: -3t + 3t = 0 6 = 14 + 0 6 = 14 Solving 6 = 14 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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