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Simplifying 5t + 3(t + -3) = 47 Reorder the terms: 5t + 3(-3 + t) = 47 5t + (-3 * 3 + t * 3) = 47 5t + (-9 + 3t) = 47 Reorder the terms: -9 + 5t + 3t = 47 Combine like terms: 5t + 3t = 8t -9 + 8t = 47 Solving -9 + 8t = 47 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8t = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 8t = 47 + 9 8t = 47 + 9 Combine like terms: 47 + 9 = 56 8t = 56 Divide each side by '8'. t = 7 Simplifying t = 7
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