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Simplifying -3(4t + -3) + 8t = 7t + -6 Reorder the terms: -3(-3 + 4t) + 8t = 7t + -6 (-3 * -3 + 4t * -3) + 8t = 7t + -6 (9 + -12t) + 8t = 7t + -6 Combine like terms: -12t + 8t = -4t 9 + -4t = 7t + -6 Reorder the terms: 9 + -4t = -6 + 7t Solving 9 + -4t = -6 + 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. 9 + -4t + -7t = -6 + 7t + -7t Combine like terms: -4t + -7t = -11t 9 + -11t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -11t = -6 + 0 9 + -11t = -6 Add '-9' to each side of the equation. 9 + -9 + -11t = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -11t = -6 + -9 -11t = -6 + -9 Combine like terms: -6 + -9 = -15 -11t = -15 Divide each side by '-11'. t = 1.363636364 Simplifying t = 1.363636364
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