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Simplifying 3(2t + -7) = 4t + -11 Reorder the terms: 3(-7 + 2t) = 4t + -11 (-7 * 3 + 2t * 3) = 4t + -11 (-21 + 6t) = 4t + -11 Reorder the terms: -21 + 6t = -11 + 4t Solving -21 + 6t = -11 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -21 + 6t + -4t = -11 + 4t + -4t Combine like terms: 6t + -4t = 2t -21 + 2t = -11 + 4t + -4t Combine like terms: 4t + -4t = 0 -21 + 2t = -11 + 0 -21 + 2t = -11 Add '21' to each side of the equation. -21 + 21 + 2t = -11 + 21 Combine like terms: -21 + 21 = 0 0 + 2t = -11 + 21 2t = -11 + 21 Combine like terms: -11 + 21 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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