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Simplifying 2(t + -2) + 6t = 4(2t + -4) + -12 Reorder the terms: 2(-2 + t) + 6t = 4(2t + -4) + -12 (-2 * 2 + t * 2) + 6t = 4(2t + -4) + -12 (-4 + 2t) + 6t = 4(2t + -4) + -12 Combine like terms: 2t + 6t = 8t -4 + 8t = 4(2t + -4) + -12 Reorder the terms: -4 + 8t = 4(-4 + 2t) + -12 -4 + 8t = (-4 * 4 + 2t * 4) + -12 -4 + 8t = (-16 + 8t) + -12 Reorder the terms: -4 + 8t = -16 + -12 + 8t Combine like terms: -16 + -12 = -28 -4 + 8t = -28 + 8t Add '-8t' to each side of the equation. -4 + 8t + -8t = -28 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 + 0 = -28 + 8t + -8t -4 = -28 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 = -28 + 0 -4 = -28 Solving -4 = -28 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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