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Simplifying -3(t + -1) + 5t = 7t + -9 Reorder the terms: -3(-1 + t) + 5t = 7t + -9 (-1 * -3 + t * -3) + 5t = 7t + -9 (3 + -3t) + 5t = 7t + -9 Combine like terms: -3t + 5t = 2t 3 + 2t = 7t + -9 Reorder the terms: 3 + 2t = -9 + 7t Solving 3 + 2t = -9 + 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. 3 + 2t + -7t = -9 + 7t + -7t Combine like terms: 2t + -7t = -5t 3 + -5t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -5t = -9 + 0 3 + -5t = -9 Add '-3' to each side of the equation. 3 + -3 + -5t = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = -9 + -3 -5t = -9 + -3 Combine like terms: -9 + -3 = -12 -5t = -12 Divide each side by '-5'. t = 2.4 Simplifying t = 2.4
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