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Simplifying 7t + -3(9 + -5t) = -5t 7t + (9 * -3 + -5t * -3) = -5t 7t + (-27 + 15t) = -5t Reorder the terms: -27 + 7t + 15t = -5t Combine like terms: 7t + 15t = 22t -27 + 22t = -5t Solving -27 + 22t = -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -27 + 22t + 5t = -5t + 5t Combine like terms: 22t + 5t = 27t -27 + 27t = -5t + 5t Combine like terms: -5t + 5t = 0 -27 + 27t = 0 Add '27' to each side of the equation. -27 + 27 + 27t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 27t = 0 + 27 27t = 0 + 27 Combine like terms: 0 + 27 = 27 27t = 27 Divide each side by '27'. t = 1 Simplifying t = 1
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