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Simplifying 7 + 2(3t + -3) = 4t + 11 Reorder the terms: 7 + 2(-3 + 3t) = 4t + 11 7 + (-3 * 2 + 3t * 2) = 4t + 11 7 + (-6 + 6t) = 4t + 11 Combine like terms: 7 + -6 = 1 1 + 6t = 4t + 11 Reorder the terms: 1 + 6t = 11 + 4t Solving 1 + 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. 1 + 6t + -4t = 11 + 4t + -4t Combine like terms: 6t + -4t = 2t 1 + 2t = 11 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 2t = 11 + 0 1 + 2t = 11 Add '-1' to each side of the equation. 1 + -1 + 2t = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 11 + -1 2t = 11 + -1 Combine like terms: 11 + -1 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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