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Simplifying -5(3t + -2) + 2t = 6t + -2 Reorder the terms: -5(-2 + 3t) + 2t = 6t + -2 (-2 * -5 + 3t * -5) + 2t = 6t + -2 (10 + -15t) + 2t = 6t + -2 Combine like terms: -15t + 2t = -13t 10 + -13t = 6t + -2 Reorder the terms: 10 + -13t = -2 + 6t Solving 10 + -13t = -2 + 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 + -13t + -6t = -2 + 6t + -6t Combine like terms: -13t + -6t = -19t 10 + -19t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -19t = -2 + 0 10 + -19t = -2 Add '-10' to each side of the equation. 10 + -10 + -19t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -19t = -2 + -10 -19t = -2 + -10 Combine like terms: -2 + -10 = -12 -19t = -12 Divide each side by '-19'. t = 0.6315789474 Simplifying t = 0.6315789474
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