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Simplifying 3(t + -3) + 5t = 4(2 + 5) + -9 Reorder the terms: 3(-3 + t) + 5t = 4(2 + 5) + -9 (-3 * 3 + t * 3) + 5t = 4(2 + 5) + -9 (-9 + 3t) + 5t = 4(2 + 5) + -9 Combine like terms: 3t + 5t = 8t -9 + 8t = 4(2 + 5) + -9 Combine like terms: 2 + 5 = 7 -9 + 8t = 4(7) + -9 Multiply 4 * 7 -9 + 8t = 28 + -9 Combine like terms: 28 + -9 = 19 -9 + 8t = 19 Solving -9 + 8t = 19 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 = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 8t = 19 + 9 8t = 19 + 9 Combine like terms: 19 + 9 = 28 8t = 28 Divide each side by '8'. t = 3.5 Simplifying t = 3.5
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