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Simplifying (8t + -6) = (t + 1) + 3 Reorder the terms: (-6 + 8t) = (t + 1) + 3 Remove parenthesis around (-6 + 8t) -6 + 8t = (t + 1) + 3 Reorder the terms: -6 + 8t = (1 + t) + 3 Remove parenthesis around (1 + t) -6 + 8t = 1 + t + 3 Reorder the terms: -6 + 8t = 1 + 3 + t Combine like terms: 1 + 3 = 4 -6 + 8t = 4 + t Solving -6 + 8t = 4 + 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. -6 + 8t + -1t = 4 + t + -1t Combine like terms: 8t + -1t = 7t -6 + 7t = 4 + t + -1t Combine like terms: t + -1t = 0 -6 + 7t = 4 + 0 -6 + 7t = 4 Add '6' to each side of the equation. -6 + 6 + 7t = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 4 + 6 7t = 4 + 6 Combine like terms: 4 + 6 = 10 7t = 10 Divide each side by '7'. t = 1.428571429 Simplifying t = 1.428571429
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