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Simplifying -3(4t + -3) + 7t = 6t + -8 Reorder the terms: -3(-3 + 4t) + 7t = 6t + -8 (-3 * -3 + 4t * -3) + 7t = 6t + -8 (9 + -12t) + 7t = 6t + -8 Combine like terms: -12t + 7t = -5t 9 + -5t = 6t + -8 Reorder the terms: 9 + -5t = -8 + 6t Solving 9 + -5t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 9 + -5t + -6t = -8 + 6t + -6t Combine like terms: -5t + -6t = -11t 9 + -11t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 9 + -11t = -8 + 0 9 + -11t = -8 Add '-9' to each side of the equation. 9 + -9 + -11t = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -11t = -8 + -9 -11t = -8 + -9 Combine like terms: -8 + -9 = -17 -11t = -17 Divide each side by '-11'. t = 1.545454545 Simplifying t = 1.545454545
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