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Simplifying 11(t + -5) + 4t = 5(3t + 4) + -10 Reorder the terms: 11(-5 + t) + 4t = 5(3t + 4) + -10 (-5 * 11 + t * 11) + 4t = 5(3t + 4) + -10 (-55 + 11t) + 4t = 5(3t + 4) + -10 Combine like terms: 11t + 4t = 15t -55 + 15t = 5(3t + 4) + -10 Reorder the terms: -55 + 15t = 5(4 + 3t) + -10 -55 + 15t = (4 * 5 + 3t * 5) + -10 -55 + 15t = (20 + 15t) + -10 Reorder the terms: -55 + 15t = 20 + -10 + 15t Combine like terms: 20 + -10 = 10 -55 + 15t = 10 + 15t Add '-15t' to each side of the equation. -55 + 15t + -15t = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -55 + 0 = 10 + 15t + -15t -55 = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -55 = 10 + 0 -55 = 10 Solving -55 = 10 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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