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Simplifying 8(t + 2) + -3(t + -4) = 5(t + -7) + 8 Reorder the terms: 8(2 + t) + -3(t + -4) = 5(t + -7) + 8 (2 * 8 + t * 8) + -3(t + -4) = 5(t + -7) + 8 (16 + 8t) + -3(t + -4) = 5(t + -7) + 8 Reorder the terms: 16 + 8t + -3(-4 + t) = 5(t + -7) + 8 16 + 8t + (-4 * -3 + t * -3) = 5(t + -7) + 8 16 + 8t + (12 + -3t) = 5(t + -7) + 8 Reorder the terms: 16 + 12 + 8t + -3t = 5(t + -7) + 8 Combine like terms: 16 + 12 = 28 28 + 8t + -3t = 5(t + -7) + 8 Combine like terms: 8t + -3t = 5t 28 + 5t = 5(t + -7) + 8 Reorder the terms: 28 + 5t = 5(-7 + t) + 8 28 + 5t = (-7 * 5 + t * 5) + 8 28 + 5t = (-35 + 5t) + 8 Reorder the terms: 28 + 5t = -35 + 8 + 5t Combine like terms: -35 + 8 = -27 28 + 5t = -27 + 5t Add '-5t' to each side of the equation. 28 + 5t + -5t = -27 + 5t + -5t Combine like terms: 5t + -5t = 0 28 + 0 = -27 + 5t + -5t 28 = -27 + 5t + -5t Combine like terms: 5t + -5t = 0 28 = -27 + 0 28 = -27 Solving 28 = -27 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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