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Simplifying (3t + -5) + -2(4 + -6t) = 0 Reorder the terms: (-5 + 3t) + -2(4 + -6t) = 0 Remove parenthesis around (-5 + 3t) -5 + 3t + -2(4 + -6t) = 0 -5 + 3t + (4 * -2 + -6t * -2) = 0 -5 + 3t + (-8 + 12t) = 0 Reorder the terms: -5 + -8 + 3t + 12t = 0 Combine like terms: -5 + -8 = -13 -13 + 3t + 12t = 0 Combine like terms: 3t + 12t = 15t -13 + 15t = 0 Solving -13 + 15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 15t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 15t = 0 + 13 15t = 0 + 13 Combine like terms: 0 + 13 = 13 15t = 13 Divide each side by '15'. t = 0.8666666667 Simplifying t = 0.8666666667
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