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Simplifying 11(t + -2) + 3t = (2t + 5) + -10 Reorder the terms: 11(-2 + t) + 3t = (2t + 5) + -10 (-2 * 11 + t * 11) + 3t = (2t + 5) + -10 (-22 + 11t) + 3t = (2t + 5) + -10 Combine like terms: 11t + 3t = 14t -22 + 14t = (2t + 5) + -10 Reorder the terms: -22 + 14t = (5 + 2t) + -10 Remove parenthesis around (5 + 2t) -22 + 14t = 5 + 2t + -10 Reorder the terms: -22 + 14t = 5 + -10 + 2t Combine like terms: 5 + -10 = -5 -22 + 14t = -5 + 2t Solving -22 + 14t = -5 + 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. -22 + 14t + -2t = -5 + 2t + -2t Combine like terms: 14t + -2t = 12t -22 + 12t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 -22 + 12t = -5 + 0 -22 + 12t = -5 Add '22' to each side of the equation. -22 + 22 + 12t = -5 + 22 Combine like terms: -22 + 22 = 0 0 + 12t = -5 + 22 12t = -5 + 22 Combine like terms: -5 + 22 = 17 12t = 17 Divide each side by '12'. t = 1.416666667 Simplifying t = 1.416666667
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