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Simplifying -5(4t + -2) + 9t = 2t + -8 Reorder the terms: -5(-2 + 4t) + 9t = 2t + -8 (-2 * -5 + 4t * -5) + 9t = 2t + -8 (10 + -20t) + 9t = 2t + -8 Combine like terms: -20t + 9t = -11t 10 + -11t = 2t + -8 Reorder the terms: 10 + -11t = -8 + 2t Solving 10 + -11t = -8 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + -11t + -2t = -8 + 2t + -2t Combine like terms: -11t + -2t = -13t 10 + -13t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -13t = -8 + 0 10 + -13t = -8 Add '-10' to each side of the equation. 10 + -10 + -13t = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = -8 + -10 -13t = -8 + -10 Combine like terms: -8 + -10 = -18 -13t = -18 Divide each side by '-13'. t = 1.384615385 Simplifying t = 1.384615385
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