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Simplifying 5 + -6[2t + -2(t + 3)] = 8 + t Reorder the terms: 5 + -6[2t + -2(3 + t)] = 8 + t 5 + -6[2t + (3 * -2 + t * -2)] = 8 + t 5 + -6[2t + (-6 + -2t)] = 8 + t Reorder the terms: 5 + -6[-6 + 2t + -2t] = 8 + t Combine like terms: 2t + -2t = 0 5 + -6[-6 + 0] = 8 + t 5 + -6[-6] = 8 + t Multiply -6 * -6 5 + 36 = 8 + t Combine like terms: 5 + 36 = 41 41 = 8 + t Solving 41 = 8 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 41 + -1t = 8 + t + -1t Combine like terms: t + -1t = 0 41 + -1t = 8 + 0 41 + -1t = 8 Add '-41' to each side of the equation. 41 + -41 + -1t = 8 + -41 Combine like terms: 41 + -41 = 0 0 + -1t = 8 + -41 -1t = 8 + -41 Combine like terms: 8 + -41 = -33 -1t = -33 Divide each side by '-1'. t = 33 Simplifying t = 33
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