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Simplifying 8 = 6(7t + -2) + -7t Reorder the terms: 8 = 6(-2 + 7t) + -7t 8 = (-2 * 6 + 7t * 6) + -7t 8 = (-12 + 42t) + -7t Combine like terms: 42t + -7t = 35t 8 = -12 + 35t Solving 8 = -12 + 35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35t' to each side of the equation. 8 + -35t = -12 + 35t + -35t Combine like terms: 35t + -35t = 0 8 + -35t = -12 + 0 8 + -35t = -12 Add '-8' to each side of the equation. 8 + -8 + -35t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -35t = -12 + -8 -35t = -12 + -8 Combine like terms: -12 + -8 = -20 -35t = -20 Divide each side by '-35'. t = 0.5714285714 Simplifying t = 0.5714285714
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