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Simplifying 5(2t + -9) + -6 = 9 Reorder the terms: 5(-9 + 2t) + -6 = 9 (-9 * 5 + 2t * 5) + -6 = 9 (-45 + 10t) + -6 = 9 Reorder the terms: -45 + -6 + 10t = 9 Combine like terms: -45 + -6 = -51 -51 + 10t = 9 Solving -51 + 10t = 9 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 + 10t = 9 + 51 Combine like terms: -51 + 51 = 0 0 + 10t = 9 + 51 10t = 9 + 51 Combine like terms: 9 + 51 = 60 10t = 60 Divide each side by '10'. t = 6 Simplifying t = 6
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