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Simplifying 5(t + 40) = -1t + -34 Reorder the terms: 5(40 + t) = -1t + -34 (40 * 5 + t * 5) = -1t + -34 (200 + 5t) = -1t + -34 Reorder the terms: 200 + 5t = -34 + -1t Solving 200 + 5t = -34 + -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. 200 + 5t + t = -34 + -1t + t Combine like terms: 5t + t = 6t 200 + 6t = -34 + -1t + t Combine like terms: -1t + t = 0 200 + 6t = -34 + 0 200 + 6t = -34 Add '-200' to each side of the equation. 200 + -200 + 6t = -34 + -200 Combine like terms: 200 + -200 = 0 0 + 6t = -34 + -200 6t = -34 + -200 Combine like terms: -34 + -200 = -234 6t = -234 Divide each side by '6'. t = -39 Simplifying t = -39
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