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Simplifying -2(5t + -2) + 4t = 5t + -6 Reorder the terms: -2(-2 + 5t) + 4t = 5t + -6 (-2 * -2 + 5t * -2) + 4t = 5t + -6 (4 + -10t) + 4t = 5t + -6 Combine like terms: -10t + 4t = -6t 4 + -6t = 5t + -6 Reorder the terms: 4 + -6t = -6 + 5t Solving 4 + -6t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + -6t + -5t = -6 + 5t + -5t Combine like terms: -6t + -5t = -11t 4 + -11t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -11t = -6 + 0 4 + -11t = -6 Add '-4' to each side of the equation. 4 + -4 + -11t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -11t = -6 + -4 -11t = -6 + -4 Combine like terms: -6 + -4 = -10 -11t = -10 Divide each side by '-11'. t = 0.9090909091 Simplifying t = 0.9090909091
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