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Simplifying 3(2t + -5) + 14 = 4t + 2t + 7 + -6 Reorder the terms: 3(-5 + 2t) + 14 = 4t + 2t + 7 + -6 (-5 * 3 + 2t * 3) + 14 = 4t + 2t + 7 + -6 (-15 + 6t) + 14 = 4t + 2t + 7 + -6 Reorder the terms: -15 + 14 + 6t = 4t + 2t + 7 + -6 Combine like terms: -15 + 14 = -1 -1 + 6t = 4t + 2t + 7 + -6 Reorder the terms: -1 + 6t = 7 + -6 + 4t + 2t Combine like terms: 7 + -6 = 1 -1 + 6t = 1 + 4t + 2t Combine like terms: 4t + 2t = 6t -1 + 6t = 1 + 6t Add '-6t' to each side of the equation. -1 + 6t + -6t = 1 + 6t + -6t Combine like terms: 6t + -6t = 0 -1 + 0 = 1 + 6t + -6t -1 = 1 + 6t + -6t Combine like terms: 6t + -6t = 0 -1 = 1 + 0 -1 = 1 Solving -1 = 1 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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