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Simplifying 7t + 6 + -2(5 + t) = -11 7t + 6 + (5 * -2 + t * -2) = -11 7t + 6 + (-10 + -2t) = -11 Reorder the terms: 6 + -10 + 7t + -2t = -11 Combine like terms: 6 + -10 = -4 -4 + 7t + -2t = -11 Combine like terms: 7t + -2t = 5t -4 + 5t = -11 Solving -4 + 5t = -11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5t = -11 + 4 Combine like terms: -4 + 4 = 0 0 + 5t = -11 + 4 5t = -11 + 4 Combine like terms: -11 + 4 = -7 5t = -7 Divide each side by '5'. t = -1.4 Simplifying t = -1.4
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