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Simplifying 10(t + -3) + 5t = 5(3t + 4) + -8 Reorder the terms: 10(-3 + t) + 5t = 5(3t + 4) + -8 (-3 * 10 + t * 10) + 5t = 5(3t + 4) + -8 (-30 + 10t) + 5t = 5(3t + 4) + -8 Combine like terms: 10t + 5t = 15t -30 + 15t = 5(3t + 4) + -8 Reorder the terms: -30 + 15t = 5(4 + 3t) + -8 -30 + 15t = (4 * 5 + 3t * 5) + -8 -30 + 15t = (20 + 15t) + -8 Reorder the terms: -30 + 15t = 20 + -8 + 15t Combine like terms: 20 + -8 = 12 -30 + 15t = 12 + 15t Add '-15t' to each side of the equation. -30 + 15t + -15t = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -30 + 0 = 12 + 15t + -15t -30 = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -30 = 12 + 0 -30 = 12 Solving -30 = 12 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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