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Simplifying 5(t + 10) = -4t + 41 Reorder the terms: 5(10 + t) = -4t + 41 (10 * 5 + t * 5) = -4t + 41 (50 + 5t) = -4t + 41 Reorder the terms: 50 + 5t = 41 + -4t Solving 50 + 5t = 41 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 50 + 5t + 4t = 41 + -4t + 4t Combine like terms: 5t + 4t = 9t 50 + 9t = 41 + -4t + 4t Combine like terms: -4t + 4t = 0 50 + 9t = 41 + 0 50 + 9t = 41 Add '-50' to each side of the equation. 50 + -50 + 9t = 41 + -50 Combine like terms: 50 + -50 = 0 0 + 9t = 41 + -50 9t = 41 + -50 Combine like terms: 41 + -50 = -9 9t = -9 Divide each side by '9'. t = -1 Simplifying t = -1
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