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Simplifying 10t + 9 + -11 + -1t = -2(2t + 4) + -3(2t + -2) Reorder the terms: 9 + -11 + 10t + -1t = -2(2t + 4) + -3(2t + -2) Combine like terms: 9 + -11 = -2 -2 + 10t + -1t = -2(2t + 4) + -3(2t + -2) Combine like terms: 10t + -1t = 9t -2 + 9t = -2(2t + 4) + -3(2t + -2) Reorder the terms: -2 + 9t = -2(4 + 2t) + -3(2t + -2) -2 + 9t = (4 * -2 + 2t * -2) + -3(2t + -2) -2 + 9t = (-8 + -4t) + -3(2t + -2) Reorder the terms: -2 + 9t = -8 + -4t + -3(-2 + 2t) -2 + 9t = -8 + -4t + (-2 * -3 + 2t * -3) -2 + 9t = -8 + -4t + (6 + -6t) Reorder the terms: -2 + 9t = -8 + 6 + -4t + -6t Combine like terms: -8 + 6 = -2 -2 + 9t = -2 + -4t + -6t Combine like terms: -4t + -6t = -10t -2 + 9t = -2 + -10t Add '2' to each side of the equation. -2 + 2 + 9t = -2 + 2 + -10t Combine like terms: -2 + 2 = 0 0 + 9t = -2 + 2 + -10t 9t = -2 + 2 + -10t Combine like terms: -2 + 2 = 0 9t = 0 + -10t 9t = -10t Solving 9t = -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 9t + 10t = -10t + 10t Combine like terms: 9t + 10t = 19t 19t = -10t + 10t Combine like terms: -10t + 10t = 0 19t = 0 Divide each side by '19'. t = 0 Simplifying t = 0
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