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Simplifying 2 + -5(4t + -3) = 9 + -1(6t + -2) Reorder the terms: 2 + -5(-3 + 4t) = 9 + -1(6t + -2) 2 + (-3 * -5 + 4t * -5) = 9 + -1(6t + -2) 2 + (15 + -20t) = 9 + -1(6t + -2) Combine like terms: 2 + 15 = 17 17 + -20t = 9 + -1(6t + -2) Reorder the terms: 17 + -20t = 9 + -1(-2 + 6t) 17 + -20t = 9 + (-2 * -1 + 6t * -1) 17 + -20t = 9 + (2 + -6t) Combine like terms: 9 + 2 = 11 17 + -20t = 11 + -6t Solving 17 + -20t = 11 + -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. 17 + -20t + 6t = 11 + -6t + 6t Combine like terms: -20t + 6t = -14t 17 + -14t = 11 + -6t + 6t Combine like terms: -6t + 6t = 0 17 + -14t = 11 + 0 17 + -14t = 11 Add '-17' to each side of the equation. 17 + -17 + -14t = 11 + -17 Combine like terms: 17 + -17 = 0 0 + -14t = 11 + -17 -14t = 11 + -17 Combine like terms: 11 + -17 = -6 -14t = -6 Divide each side by '-14'. t = 0.4285714286 Simplifying t = 0.4285714286
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