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Simplifying (8t + -3) = (t + 1) + 6 Reorder the terms: (-3 + 8t) = (t + 1) + 6 Remove parenthesis around (-3 + 8t) -3 + 8t = (t + 1) + 6 Reorder the terms: -3 + 8t = (1 + t) + 6 Remove parenthesis around (1 + t) -3 + 8t = 1 + t + 6 Reorder the terms: -3 + 8t = 1 + 6 + t Combine like terms: 1 + 6 = 7 -3 + 8t = 7 + t Solving -3 + 8t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + 8t + -1t = 7 + t + -1t Combine like terms: 8t + -1t = 7t -3 + 7t = 7 + t + -1t Combine like terms: t + -1t = 0 -3 + 7t = 7 + 0 -3 + 7t = 7 Add '3' to each side of the equation. -3 + 3 + 7t = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 7t = 7 + 3 7t = 7 + 3 Combine like terms: 7 + 3 = 10 7t = 10 Divide each side by '7'. t = 1.428571429 Simplifying t = 1.428571429
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