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Simplifying 8(t + -4) + 7t = 5(3t + -2) + -9 Reorder the terms: 8(-4 + t) + 7t = 5(3t + -2) + -9 (-4 * 8 + t * 8) + 7t = 5(3t + -2) + -9 (-32 + 8t) + 7t = 5(3t + -2) + -9 Combine like terms: 8t + 7t = 15t -32 + 15t = 5(3t + -2) + -9 Reorder the terms: -32 + 15t = 5(-2 + 3t) + -9 -32 + 15t = (-2 * 5 + 3t * 5) + -9 -32 + 15t = (-10 + 15t) + -9 Reorder the terms: -32 + 15t = -10 + -9 + 15t Combine like terms: -10 + -9 = -19 -32 + 15t = -19 + 15t Add '-15t' to each side of the equation. -32 + 15t + -15t = -19 + 15t + -15t Combine like terms: 15t + -15t = 0 -32 + 0 = -19 + 15t + -15t -32 = -19 + 15t + -15t Combine like terms: 15t + -15t = 0 -32 = -19 + 0 -32 = -19 Solving -32 = -19 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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