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Simplifying -3(t + 2) = 8(t + 1) + -11(t + -2) Reorder the terms: -3(2 + t) = 8(t + 1) + -11(t + -2) (2 * -3 + t * -3) = 8(t + 1) + -11(t + -2) (-6 + -3t) = 8(t + 1) + -11(t + -2) Reorder the terms: -6 + -3t = 8(1 + t) + -11(t + -2) -6 + -3t = (1 * 8 + t * 8) + -11(t + -2) -6 + -3t = (8 + 8t) + -11(t + -2) Reorder the terms: -6 + -3t = 8 + 8t + -11(-2 + t) -6 + -3t = 8 + 8t + (-2 * -11 + t * -11) -6 + -3t = 8 + 8t + (22 + -11t) Reorder the terms: -6 + -3t = 8 + 22 + 8t + -11t Combine like terms: 8 + 22 = 30 -6 + -3t = 30 + 8t + -11t Combine like terms: 8t + -11t = -3t -6 + -3t = 30 + -3t Add '3t' to each side of the equation. -6 + -3t + 3t = 30 + -3t + 3t Combine like terms: -3t + 3t = 0 -6 + 0 = 30 + -3t + 3t -6 = 30 + -3t + 3t Combine like terms: -3t + 3t = 0 -6 = 30 + 0 -6 = 30 Solving -6 = 30 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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