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Simplifying 10t + 4 + -2t = 2 + -2(t + 4) Reorder the terms: 4 + 10t + -2t = 2 + -2(t + 4) Combine like terms: 10t + -2t = 8t 4 + 8t = 2 + -2(t + 4) Reorder the terms: 4 + 8t = 2 + -2(4 + t) 4 + 8t = 2 + (4 * -2 + t * -2) 4 + 8t = 2 + (-8 + -2t) Combine like terms: 2 + -8 = -6 4 + 8t = -6 + -2t Solving 4 + 8t = -6 + -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. 4 + 8t + 2t = -6 + -2t + 2t Combine like terms: 8t + 2t = 10t 4 + 10t = -6 + -2t + 2t Combine like terms: -2t + 2t = 0 4 + 10t = -6 + 0 4 + 10t = -6 Add '-4' to each side of the equation. 4 + -4 + 10t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 10t = -6 + -4 10t = -6 + -4 Combine like terms: -6 + -4 = -10 10t = -10 Divide each side by '10'. t = -1 Simplifying t = -1
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