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Simplifying 10(t + -3) + 5t = 5(3t + 5) + -12 Reorder the terms: 10(-3 + t) + 5t = 5(3t + 5) + -12 (-3 * 10 + t * 10) + 5t = 5(3t + 5) + -12 (-30 + 10t) + 5t = 5(3t + 5) + -12 Combine like terms: 10t + 5t = 15t -30 + 15t = 5(3t + 5) + -12 Reorder the terms: -30 + 15t = 5(5 + 3t) + -12 -30 + 15t = (5 * 5 + 3t * 5) + -12 -30 + 15t = (25 + 15t) + -12 Reorder the terms: -30 + 15t = 25 + -12 + 15t Combine like terms: 25 + -12 = 13 -30 + 15t = 13 + 15t Add '-15t' to each side of the equation. -30 + 15t + -15t = 13 + 15t + -15t Combine like terms: 15t + -15t = 0 -30 + 0 = 13 + 15t + -15t -30 = 13 + 15t + -15t Combine like terms: 15t + -15t = 0 -30 = 13 + 0 -30 = 13 Solving -30 = 13 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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