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Simplifying 8 = 6(7t + -2) + -1(7 + -1t) Reorder the terms: 8 = 6(-2 + 7t) + -1(7 + -1t) 8 = (-2 * 6 + 7t * 6) + -1(7 + -1t) 8 = (-12 + 42t) + -1(7 + -1t) 8 = -12 + 42t + (7 * -1 + -1t * -1) 8 = -12 + 42t + (-7 + 1t) Reorder the terms: 8 = -12 + -7 + 42t + 1t Combine like terms: -12 + -7 = -19 8 = -19 + 42t + 1t Combine like terms: 42t + 1t = 43t 8 = -19 + 43t Solving 8 = -19 + 43t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-43t' to each side of the equation. 8 + -43t = -19 + 43t + -43t Combine like terms: 43t + -43t = 0 8 + -43t = -19 + 0 8 + -43t = -19 Add '-8' to each side of the equation. 8 + -8 + -43t = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -43t = -19 + -8 -43t = -19 + -8 Combine like terms: -19 + -8 = -27 -43t = -27 Divide each side by '-43'. t = 0.6279069767 Simplifying t = 0.6279069767
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