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Simplifying 6t + 3(5t + -4) = 2(2t + -5) Reorder the terms: 6t + 3(-4 + 5t) = 2(2t + -5) 6t + (-4 * 3 + 5t * 3) = 2(2t + -5) 6t + (-12 + 15t) = 2(2t + -5) Reorder the terms: -12 + 6t + 15t = 2(2t + -5) Combine like terms: 6t + 15t = 21t -12 + 21t = 2(2t + -5) Reorder the terms: -12 + 21t = 2(-5 + 2t) -12 + 21t = (-5 * 2 + 2t * 2) -12 + 21t = (-10 + 4t) Solving -12 + 21t = -10 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -12 + 21t + -4t = -10 + 4t + -4t Combine like terms: 21t + -4t = 17t -12 + 17t = -10 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 17t = -10 + 0 -12 + 17t = -10 Add '12' to each side of the equation. -12 + 12 + 17t = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 17t = -10 + 12 17t = -10 + 12 Combine like terms: -10 + 12 = 2 17t = 2 Divide each side by '17'. t = 0.1176470588 Simplifying t = 0.1176470588
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