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Simplifying 5 + -6[2t + -2(t + -3)] = 8 + -1t Reorder the terms: 5 + -6[2t + -2(-3 + t)] = 8 + -1t 5 + -6[2t + (-3 * -2 + t * -2)] = 8 + -1t 5 + -6[2t + (6 + -2t)] = 8 + -1t Reorder the terms: 5 + -6[6 + 2t + -2t] = 8 + -1t Combine like terms: 2t + -2t = 0 5 + -6[6 + 0] = 8 + -1t 5 + -6[6] = 8 + -1t Multiply -6 * 6 5 + -36 = 8 + -1t Combine like terms: 5 + -36 = -31 -31 = 8 + -1t Solving -31 = 8 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -31 + t = 8 + -1t + t Combine like terms: -1t + t = 0 -31 + t = 8 + 0 -31 + t = 8 Add '31' to each side of the equation. -31 + 31 + t = 8 + 31 Combine like terms: -31 + 31 = 0 0 + t = 8 + 31 t = 8 + 31 Combine like terms: 8 + 31 = 39 t = 39 Simplifying t = 39
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