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Simplifying -3(4t + -2) + 9t = (5t + -5) Reorder the terms: -3(-2 + 4t) + 9t = (5t + -5) (-2 * -3 + 4t * -3) + 9t = (5t + -5) (6 + -12t) + 9t = (5t + -5) Combine like terms: -12t + 9t = -3t 6 + -3t = (5t + -5) Reorder the terms: 6 + -3t = (-5 + 5t) Remove parenthesis around (-5 + 5t) 6 + -3t = -5 + 5t Solving 6 + -3t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 6 + -3t + -5t = -5 + 5t + -5t Combine like terms: -3t + -5t = -8t 6 + -8t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -8t = -5 + 0 6 + -8t = -5 Add '-6' to each side of the equation. 6 + -6 + -8t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = -5 + -6 -8t = -5 + -6 Combine like terms: -5 + -6 = -11 -8t = -11 Divide each side by '-8'. t = 1.375 Simplifying t = 1.375
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