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Simplifying -5(3t + -4) + 2t = 6t + -8 Reorder the terms: -5(-4 + 3t) + 2t = 6t + -8 (-4 * -5 + 3t * -5) + 2t = 6t + -8 (20 + -15t) + 2t = 6t + -8 Combine like terms: -15t + 2t = -13t 20 + -13t = 6t + -8 Reorder the terms: 20 + -13t = -8 + 6t Solving 20 + -13t = -8 + 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. 20 + -13t + -6t = -8 + 6t + -6t Combine like terms: -13t + -6t = -19t 20 + -19t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -19t = -8 + 0 20 + -19t = -8 Add '-20' to each side of the equation. 20 + -20 + -19t = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -8 + -20 -19t = -8 + -20 Combine like terms: -8 + -20 = -28 -19t = -28 Divide each side by '-19'. t = 1.473684211 Simplifying t = 1.473684211
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