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Simplifying 7 + 2(t + 9) = 3 + -2(4t + -6) Reorder the terms: 7 + 2(9 + t) = 3 + -2(4t + -6) 7 + (9 * 2 + t * 2) = 3 + -2(4t + -6) 7 + (18 + 2t) = 3 + -2(4t + -6) Combine like terms: 7 + 18 = 25 25 + 2t = 3 + -2(4t + -6) Reorder the terms: 25 + 2t = 3 + -2(-6 + 4t) 25 + 2t = 3 + (-6 * -2 + 4t * -2) 25 + 2t = 3 + (12 + -8t) Combine like terms: 3 + 12 = 15 25 + 2t = 15 + -8t Solving 25 + 2t = 15 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 25 + 2t + 8t = 15 + -8t + 8t Combine like terms: 2t + 8t = 10t 25 + 10t = 15 + -8t + 8t Combine like terms: -8t + 8t = 0 25 + 10t = 15 + 0 25 + 10t = 15 Add '-25' to each side of the equation. 25 + -25 + 10t = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 10t = 15 + -25 10t = 15 + -25 Combine like terms: 15 + -25 = -10 10t = -10 Divide each side by '10'. t = -1 Simplifying t = -1
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