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Simplifying (7t + -4) = (t + 1) + 2 Reorder the terms: (-4 + 7t) = (t + 1) + 2 Remove parenthesis around (-4 + 7t) -4 + 7t = (t + 1) + 2 Reorder the terms: -4 + 7t = (1 + t) + 2 Remove parenthesis around (1 + t) -4 + 7t = 1 + t + 2 Reorder the terms: -4 + 7t = 1 + 2 + t Combine like terms: 1 + 2 = 3 -4 + 7t = 3 + t Solving -4 + 7t = 3 + 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. -4 + 7t + -1t = 3 + t + -1t Combine like terms: 7t + -1t = 6t -4 + 6t = 3 + t + -1t Combine like terms: t + -1t = 0 -4 + 6t = 3 + 0 -4 + 6t = 3 Add '4' to each side of the equation. -4 + 4 + 6t = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 6t = 3 + 4 6t = 3 + 4 Combine like terms: 3 + 4 = 7 6t = 7 Divide each side by '6'. t = 1.166666667 Simplifying t = 1.166666667
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