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Simplifying 2(4t + -5) = 19t + -6 Reorder the terms: 2(-5 + 4t) = 19t + -6 (-5 * 2 + 4t * 2) = 19t + -6 (-10 + 8t) = 19t + -6 Reorder the terms: -10 + 8t = -6 + 19t Solving -10 + 8t = -6 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -10 + 8t + -19t = -6 + 19t + -19t Combine like terms: 8t + -19t = -11t -10 + -11t = -6 + 19t + -19t Combine like terms: 19t + -19t = 0 -10 + -11t = -6 + 0 -10 + -11t = -6 Add '10' to each side of the equation. -10 + 10 + -11t = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -11t = -6 + 10 -11t = -6 + 10 Combine like terms: -6 + 10 = 4 -11t = 4 Divide each side by '-11'. t = -0.3636363636 Simplifying t = -0.3636363636
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