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Simplifying -5(2t + -2) + 4t = 2 + 9 Reorder the terms: -5(-2 + 2t) + 4t = 2 + 9 (-2 * -5 + 2t * -5) + 4t = 2 + 9 (10 + -10t) + 4t = 2 + 9 Combine like terms: -10t + 4t = -6t 10 + -6t = 2 + 9 Combine like terms: 2 + 9 = 11 10 + -6t = 11 Solving 10 + -6t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6t = 11 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = 11 + -10 -6t = 11 + -10 Combine like terms: 11 + -10 = 1 -6t = 1 Divide each side by '-6'. t = -0.1666666667 Simplifying t = -0.1666666667
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