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Simplifying 17(t + -3) + 4t = 7(3 + 3) + -12 Reorder the terms: 17(-3 + t) + 4t = 7(3 + 3) + -12 (-3 * 17 + t * 17) + 4t = 7(3 + 3) + -12 (-51 + 17t) + 4t = 7(3 + 3) + -12 Combine like terms: 17t + 4t = 21t -51 + 21t = 7(3 + 3) + -12 Combine like terms: 3 + 3 = 6 -51 + 21t = 7(6) + -12 Multiply 7 * 6 -51 + 21t = 42 + -12 Combine like terms: 42 + -12 = 30 -51 + 21t = 30 Solving -51 + 21t = 30 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 21t = 30 + 51 Combine like terms: -51 + 51 = 0 0 + 21t = 30 + 51 21t = 30 + 51 Combine like terms: 30 + 51 = 81 21t = 81 Divide each side by '21'. t = 3.857142857 Simplifying t = 3.857142857
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