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Simplifying 8(t + 2) + -2(t + -4) = 6(t + 7) + 8 Reorder the terms: 8(2 + t) + -2(t + -4) = 6(t + 7) + 8 (2 * 8 + t * 8) + -2(t + -4) = 6(t + 7) + 8 (16 + 8t) + -2(t + -4) = 6(t + 7) + 8 Reorder the terms: 16 + 8t + -2(-4 + t) = 6(t + 7) + 8 16 + 8t + (-4 * -2 + t * -2) = 6(t + 7) + 8 16 + 8t + (8 + -2t) = 6(t + 7) + 8 Reorder the terms: 16 + 8 + 8t + -2t = 6(t + 7) + 8 Combine like terms: 16 + 8 = 24 24 + 8t + -2t = 6(t + 7) + 8 Combine like terms: 8t + -2t = 6t 24 + 6t = 6(t + 7) + 8 Reorder the terms: 24 + 6t = 6(7 + t) + 8 24 + 6t = (7 * 6 + t * 6) + 8 24 + 6t = (42 + 6t) + 8 Reorder the terms: 24 + 6t = 42 + 8 + 6t Combine like terms: 42 + 8 = 50 24 + 6t = 50 + 6t Add '-6t' to each side of the equation. 24 + 6t + -6t = 50 + 6t + -6t Combine like terms: 6t + -6t = 0 24 + 0 = 50 + 6t + -6t 24 = 50 + 6t + -6t Combine like terms: 6t + -6t = 0 24 = 50 + 0 24 = 50 Solving 24 = 50 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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