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Simplifying 4(t + -4) + 6t = 5(2t + 3) + -12 Reorder the terms: 4(-4 + t) + 6t = 5(2t + 3) + -12 (-4 * 4 + t * 4) + 6t = 5(2t + 3) + -12 (-16 + 4t) + 6t = 5(2t + 3) + -12 Combine like terms: 4t + 6t = 10t -16 + 10t = 5(2t + 3) + -12 Reorder the terms: -16 + 10t = 5(3 + 2t) + -12 -16 + 10t = (3 * 5 + 2t * 5) + -12 -16 + 10t = (15 + 10t) + -12 Reorder the terms: -16 + 10t = 15 + -12 + 10t Combine like terms: 15 + -12 = 3 -16 + 10t = 3 + 10t Add '-10t' to each side of the equation. -16 + 10t + -10t = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -16 + 0 = 3 + 10t + -10t -16 = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -16 = 3 + 0 -16 = 3 Solving -16 = 3 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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