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Simplifying -3(4t + -2) + 6t = 5t + -7 Reorder the terms: -3(-2 + 4t) + 6t = 5t + -7 (-2 * -3 + 4t * -3) + 6t = 5t + -7 (6 + -12t) + 6t = 5t + -7 Combine like terms: -12t + 6t = -6t 6 + -6t = 5t + -7 Reorder the terms: 6 + -6t = -7 + 5t Solving 6 + -6t = -7 + 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 + -6t + -5t = -7 + 5t + -5t Combine like terms: -6t + -5t = -11t 6 + -11t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -11t = -7 + 0 6 + -11t = -7 Add '-6' to each side of the equation. 6 + -6 + -11t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -11t = -7 + -6 -11t = -7 + -6 Combine like terms: -7 + -6 = -13 -11t = -13 Divide each side by '-11'. t = 1.181818182 Simplifying t = 1.181818182
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