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Simplifying 3(t + -24) = 7t + -4(t + -18) Reorder the terms: 3(-24 + t) = 7t + -4(t + -18) (-24 * 3 + t * 3) = 7t + -4(t + -18) (-72 + 3t) = 7t + -4(t + -18) Reorder the terms: -72 + 3t = 7t + -4(-18 + t) -72 + 3t = 7t + (-18 * -4 + t * -4) -72 + 3t = 7t + (72 + -4t) Reorder the terms: -72 + 3t = 72 + 7t + -4t Combine like terms: 7t + -4t = 3t -72 + 3t = 72 + 3t Add '-3t' to each side of the equation. -72 + 3t + -3t = 72 + 3t + -3t Combine like terms: 3t + -3t = 0 -72 + 0 = 72 + 3t + -3t -72 = 72 + 3t + -3t Combine like terms: 3t + -3t = 0 -72 = 72 + 0 -72 = 72 Solving -72 = 72 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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