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Simplifying 2 = 2(7t + -3) + -1(8 + t) Reorder the terms: 2 = 2(-3 + 7t) + -1(8 + t) 2 = (-3 * 2 + 7t * 2) + -1(8 + t) 2 = (-6 + 14t) + -1(8 + t) 2 = -6 + 14t + (8 * -1 + t * -1) 2 = -6 + 14t + (-8 + -1t) Reorder the terms: 2 = -6 + -8 + 14t + -1t Combine like terms: -6 + -8 = -14 2 = -14 + 14t + -1t Combine like terms: 14t + -1t = 13t 2 = -14 + 13t Solving 2 = -14 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 2 + -13t = -14 + 13t + -13t Combine like terms: 13t + -13t = 0 2 + -13t = -14 + 0 2 + -13t = -14 Add '-2' to each side of the equation. 2 + -2 + -13t = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -13t = -14 + -2 -13t = -14 + -2 Combine like terms: -14 + -2 = -16 -13t = -16 Divide each side by '-13'. t = 1.230769231 Simplifying t = 1.230769231
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