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Simplifying 2(t + -5) + 6t = 4(2t + 3) + -10 Reorder the terms: 2(-5 + t) + 6t = 4(2t + 3) + -10 (-5 * 2 + t * 2) + 6t = 4(2t + 3) + -10 (-10 + 2t) + 6t = 4(2t + 3) + -10 Combine like terms: 2t + 6t = 8t -10 + 8t = 4(2t + 3) + -10 Reorder the terms: -10 + 8t = 4(3 + 2t) + -10 -10 + 8t = (3 * 4 + 2t * 4) + -10 -10 + 8t = (12 + 8t) + -10 Reorder the terms: -10 + 8t = 12 + -10 + 8t Combine like terms: 12 + -10 = 2 -10 + 8t = 2 + 8t Add '-8t' to each side of the equation. -10 + 8t + -8t = 2 + 8t + -8t Combine like terms: 8t + -8t = 0 -10 + 0 = 2 + 8t + -8t -10 = 2 + 8t + -8t Combine like terms: 8t + -8t = 0 -10 = 2 + 0 -10 = 2 Solving -10 = 2 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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