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Simplifying 5(t + -3) + 2t = 27 Reorder the terms: 5(-3 + t) + 2t = 27 (-3 * 5 + t * 5) + 2t = 27 (-15 + 5t) + 2t = 27 Combine like terms: 5t + 2t = 7t -15 + 7t = 27 Solving -15 + 7t = 27 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7t = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7t = 27 + 15 7t = 27 + 15 Combine like terms: 27 + 15 = 42 7t = 42 Divide each side by '7'. t = 6 Simplifying t = 6
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