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Simplifying -5(3t + -2) + 7t = 4t + -7 Reorder the terms: -5(-2 + 3t) + 7t = 4t + -7 (-2 * -5 + 3t * -5) + 7t = 4t + -7 (10 + -15t) + 7t = 4t + -7 Combine like terms: -15t + 7t = -8t 10 + -8t = 4t + -7 Reorder the terms: 10 + -8t = -7 + 4t Solving 10 + -8t = -7 + 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. 10 + -8t + -4t = -7 + 4t + -4t Combine like terms: -8t + -4t = -12t 10 + -12t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -12t = -7 + 0 10 + -12t = -7 Add '-10' to each side of the equation. 10 + -10 + -12t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -12t = -7 + -10 -12t = -7 + -10 Combine like terms: -7 + -10 = -17 -12t = -17 Divide each side by '-12'. t = 1.416666667 Simplifying t = 1.416666667
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