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Simplifying 3(7t + -3) = -4t + 41 Reorder the terms: 3(-3 + 7t) = -4t + 41 (-3 * 3 + 7t * 3) = -4t + 41 (-9 + 21t) = -4t + 41 Reorder the terms: -9 + 21t = 41 + -4t Solving -9 + 21t = 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. -9 + 21t + 4t = 41 + -4t + 4t Combine like terms: 21t + 4t = 25t -9 + 25t = 41 + -4t + 4t Combine like terms: -4t + 4t = 0 -9 + 25t = 41 + 0 -9 + 25t = 41 Add '9' to each side of the equation. -9 + 9 + 25t = 41 + 9 Combine like terms: -9 + 9 = 0 0 + 25t = 41 + 9 25t = 41 + 9 Combine like terms: 41 + 9 = 50 25t = 50 Divide each side by '25'. t = 2 Simplifying t = 2
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