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Simplifying -3t + 7(t + -1) = -11 + 2t Reorder the terms: -3t + 7(-1 + t) = -11 + 2t -3t + (-1 * 7 + t * 7) = -11 + 2t -3t + (-7 + 7t) = -11 + 2t Reorder the terms: -7 + -3t + 7t = -11 + 2t Combine like terms: -3t + 7t = 4t -7 + 4t = -11 + 2t Solving -7 + 4t = -11 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -7 + 4t + -2t = -11 + 2t + -2t Combine like terms: 4t + -2t = 2t -7 + 2t = -11 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 2t = -11 + 0 -7 + 2t = -11 Add '7' to each side of the equation. -7 + 7 + 2t = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = -11 + 7 2t = -11 + 7 Combine like terms: -11 + 7 = -4 2t = -4 Divide each side by '2'. t = -2 Simplifying t = -2
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