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Simplifying 15(t + -2) + 6t = 7(3t + 2) + -10 Reorder the terms: 15(-2 + t) + 6t = 7(3t + 2) + -10 (-2 * 15 + t * 15) + 6t = 7(3t + 2) + -10 (-30 + 15t) + 6t = 7(3t + 2) + -10 Combine like terms: 15t + 6t = 21t -30 + 21t = 7(3t + 2) + -10 Reorder the terms: -30 + 21t = 7(2 + 3t) + -10 -30 + 21t = (2 * 7 + 3t * 7) + -10 -30 + 21t = (14 + 21t) + -10 Reorder the terms: -30 + 21t = 14 + -10 + 21t Combine like terms: 14 + -10 = 4 -30 + 21t = 4 + 21t Add '-21t' to each side of the equation. -30 + 21t + -21t = 4 + 21t + -21t Combine like terms: 21t + -21t = 0 -30 + 0 = 4 + 21t + -21t -30 = 4 + 21t + -21t Combine like terms: 21t + -21t = 0 -30 = 4 + 0 -30 = 4 Solving -30 = 4 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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