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Simplifying 5(t + -2) + 11t + -4 = -2(4 + -1t) Reorder the terms: 5(-2 + t) + 11t + -4 = -2(4 + -1t) (-2 * 5 + t * 5) + 11t + -4 = -2(4 + -1t) (-10 + 5t) + 11t + -4 = -2(4 + -1t) Reorder the terms: -10 + -4 + 5t + 11t = -2(4 + -1t) Combine like terms: -10 + -4 = -14 -14 + 5t + 11t = -2(4 + -1t) Combine like terms: 5t + 11t = 16t -14 + 16t = -2(4 + -1t) -14 + 16t = (4 * -2 + -1t * -2) -14 + 16t = (-8 + 2t) Solving -14 + 16t = -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. -14 + 16t + -2t = -8 + 2t + -2t Combine like terms: 16t + -2t = 14t -14 + 14t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 -14 + 14t = -8 + 0 -14 + 14t = -8 Add '14' to each side of the equation. -14 + 14 + 14t = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 14t = -8 + 14 14t = -8 + 14 Combine like terms: -8 + 14 = 6 14t = 6 Divide each side by '14'. t = 0.4285714286 Simplifying t = 0.4285714286
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