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Simplifying -2(t + 5) = 45 + -7t Reorder the terms: -2(5 + t) = 45 + -7t (5 * -2 + t * -2) = 45 + -7t (-10 + -2t) = 45 + -7t Solving -10 + -2t = 45 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -10 + -2t + 7t = 45 + -7t + 7t Combine like terms: -2t + 7t = 5t -10 + 5t = 45 + -7t + 7t Combine like terms: -7t + 7t = 0 -10 + 5t = 45 + 0 -10 + 5t = 45 Add '10' to each side of the equation. -10 + 10 + 5t = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = 45 + 10 5t = 45 + 10 Combine like terms: 45 + 10 = 55 5t = 55 Divide each side by '5'. t = 11 Simplifying t = 11
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