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Simplifying -5(2t + -2) + 4t = 6t + -7 Reorder the terms: -5(-2 + 2t) + 4t = 6t + -7 (-2 * -5 + 2t * -5) + 4t = 6t + -7 (10 + -10t) + 4t = 6t + -7 Combine like terms: -10t + 4t = -6t 10 + -6t = 6t + -7 Reorder the terms: 10 + -6t = -7 + 6t Solving 10 + -6t = -7 + 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. 10 + -6t + -6t = -7 + 6t + -6t Combine like terms: -6t + -6t = -12t 10 + -12t = -7 + 6t + -6t Combine like terms: 6t + -6t = 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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