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Simplifying -3(4t + -2) + 5t = 4t + -6 Reorder the terms: -3(-2 + 4t) + 5t = 4t + -6 (-2 * -3 + 4t * -3) + 5t = 4t + -6 (6 + -12t) + 5t = 4t + -6 Combine like terms: -12t + 5t = -7t 6 + -7t = 4t + -6 Reorder the terms: 6 + -7t = -6 + 4t Solving 6 + -7t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + -7t + -4t = -6 + 4t + -4t Combine like terms: -7t + -4t = -11t 6 + -11t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + -11t = -6 + 0 6 + -11t = -6 Add '-6' to each side of the equation. 6 + -6 + -11t = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -11t = -6 + -6 -11t = -6 + -6 Combine like terms: -6 + -6 = -12 -11t = -12 Divide each side by '-11'. t = 1.090909091 Simplifying t = 1.090909091
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