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Simplifying 6t + 3(5t + -4) = (2t + -5) Reorder the terms: 6t + 3(-4 + 5t) = (2t + -5) 6t + (-4 * 3 + 5t * 3) = (2t + -5) 6t + (-12 + 15t) = (2t + -5) Reorder the terms: -12 + 6t + 15t = (2t + -5) Combine like terms: 6t + 15t = 21t -12 + 21t = (2t + -5) Reorder the terms: -12 + 21t = (-5 + 2t) Remove parenthesis around (-5 + 2t) -12 + 21t = -5 + 2t Solving -12 + 21t = -5 + 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. -12 + 21t + -2t = -5 + 2t + -2t Combine like terms: 21t + -2t = 19t -12 + 19t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 19t = -5 + 0 -12 + 19t = -5 Add '12' to each side of the equation. -12 + 12 + 19t = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 19t = -5 + 12 19t = -5 + 12 Combine like terms: -5 + 12 = 7 19t = 7 Divide each side by '19'. t = 0.3684210526 Simplifying t = 0.3684210526
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