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Simplifying 3(3 + 0.9t) = 2(-2.4t + -3) (3 * 3 + 0.9t * 3) = 2(-2.4t + -3) (9 + 2.7t) = 2(-2.4t + -3) Reorder the terms: 9 + 2.7t = 2(-3 + -2.4t) 9 + 2.7t = (-3 * 2 + -2.4t * 2) 9 + 2.7t = (-6 + -4.8t) Solving 9 + 2.7t = -6 + -4.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.8t' to each side of the equation. 9 + 2.7t + 4.8t = -6 + -4.8t + 4.8t Combine like terms: 2.7t + 4.8t = 7.5t 9 + 7.5t = -6 + -4.8t + 4.8t Combine like terms: -4.8t + 4.8t = 0.0 9 + 7.5t = -6 + 0.0 9 + 7.5t = -6 Add '-9' to each side of the equation. 9 + -9 + 7.5t = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 7.5t = -6 + -9 7.5t = -6 + -9 Combine like terms: -6 + -9 = -15 7.5t = -15 Divide each side by '7.5'. t = -2 Simplifying t = -2
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