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Simplifying -3(4t + -3) + 4t = 3t + -7 Reorder the terms: -3(-3 + 4t) + 4t = 3t + -7 (-3 * -3 + 4t * -3) + 4t = 3t + -7 (9 + -12t) + 4t = 3t + -7 Combine like terms: -12t + 4t = -8t 9 + -8t = 3t + -7 Reorder the terms: 9 + -8t = -7 + 3t Solving 9 + -8t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 9 + -8t + -3t = -7 + 3t + -3t Combine like terms: -8t + -3t = -11t 9 + -11t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + -11t = -7 + 0 9 + -11t = -7 Add '-9' to each side of the equation. 9 + -9 + -11t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -11t = -7 + -9 -11t = -7 + -9 Combine like terms: -7 + -9 = -16 -11t = -16 Divide each side by '-11'. t = 1.454545455 Simplifying t = 1.454545455
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