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Simplifying 6(5 + -1t) + -3(-4t) = 20 (5 * 6 + -1t * 6) + -3(-4t) = 20 (30 + -6t) + -3(-4t) = 20 Remove parenthesis around (-4t) 30 + -6t + -3 * -4t = 20 Multiply -3 * -4 30 + -6t + 12t = 20 Combine like terms: -6t + 12t = 6t 30 + 6t = 20 Solving 30 + 6t = 20 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6t = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 6t = 20 + -30 6t = 20 + -30 Combine like terms: 20 + -30 = -10 6t = -10 Divide each side by '6'. t = -1.666666667 Simplifying t = -1.666666667
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