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Simplifying -3(4t + -2) + 7t = 6t + -4 Reorder the terms: -3(-2 + 4t) + 7t = 6t + -4 (-2 * -3 + 4t * -3) + 7t = 6t + -4 (6 + -12t) + 7t = 6t + -4 Combine like terms: -12t + 7t = -5t 6 + -5t = 6t + -4 Reorder the terms: 6 + -5t = -4 + 6t Solving 6 + -5t = -4 + 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. 6 + -5t + -6t = -4 + 6t + -6t Combine like terms: -5t + -6t = -11t 6 + -11t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 6 + -11t = -4 + 0 6 + -11t = -4 Add '-6' to each side of the equation. 6 + -6 + -11t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -11t = -4 + -6 -11t = -4 + -6 Combine like terms: -4 + -6 = -10 -11t = -10 Divide each side by '-11'. t = 0.9090909091 Simplifying t = 0.9090909091
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