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Simplifying -5(3t + -4) + 4t = 7T + -3 Reorder the terms: -5(-4 + 3t) + 4t = 7T + -3 (-4 * -5 + 3t * -5) + 4t = 7T + -3 (20 + -15t) + 4t = 7T + -3 Combine like terms: -15t + 4t = -11t 20 + -11t = 7T + -3 Reorder the terms: 20 + -11t = -3 + 7T Solving 20 + -11t = -3 + 7T Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11t = -3 + -20 + 7T Combine like terms: 20 + -20 = 0 0 + -11t = -3 + -20 + 7T -11t = -3 + -20 + 7T Combine like terms: -3 + -20 = -23 -11t = -23 + 7T Divide each side by '-11'. t = 2.090909091 + -0.6363636364T Simplifying t = 2.090909091 + -0.6363636364T
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