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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 = 41 41 = 8 + -1t Solving 41 = 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. 41 + t = 8 + -1t + t Combine like terms: -1t + t = 0 41 + t = 8 + 0 41 + t = 8 Add '-41' to each side of the equation. 41 + -41 + t = 8 + -41 Combine like terms: 41 + -41 = 0 0 + t = 8 + -41 t = 8 + -41 Combine like terms: 8 + -41 = -33 t = -33 Simplifying t = -33
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