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Simplifying 11(t + -1) = 8(t + 2) + -1t Reorder the terms: 11(-1 + t) = 8(t + 2) + -1t (-1 * 11 + t * 11) = 8(t + 2) + -1t (-11 + 11t) = 8(t + 2) + -1t Reorder the terms: -11 + 11t = 8(2 + t) + -1t -11 + 11t = (2 * 8 + t * 8) + -1t -11 + 11t = (16 + 8t) + -1t Combine like terms: 8t + -1t = 7t -11 + 11t = 16 + 7t Solving -11 + 11t = 16 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -11 + 11t + -7t = 16 + 7t + -7t Combine like terms: 11t + -7t = 4t -11 + 4t = 16 + 7t + -7t Combine like terms: 7t + -7t = 0 -11 + 4t = 16 + 0 -11 + 4t = 16 Add '11' to each side of the equation. -11 + 11 + 4t = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 4t = 16 + 11 4t = 16 + 11 Combine like terms: 16 + 11 = 27 4t = 27 Divide each side by '4'. t = 6.75 Simplifying t = 6.75
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