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Simplifying 6t + 3(5t + -4) = 12(2 + -5) Reorder the terms: 6t + 3(-4 + 5t) = 12(2 + -5) 6t + (-4 * 3 + 5t * 3) = 12(2 + -5) 6t + (-12 + 15t) = 12(2 + -5) Reorder the terms: -12 + 6t + 15t = 12(2 + -5) Combine like terms: 6t + 15t = 21t -12 + 21t = 12(2 + -5) Combine like terms: 2 + -5 = -3 -12 + 21t = 12(-3) Multiply 12 * -3 -12 + 21t = -36 Solving -12 + 21t = -36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21t = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 21t = -36 + 12 21t = -36 + 12 Combine like terms: -36 + 12 = -24 21t = -24 Divide each side by '21'. t = -1.142857143 Simplifying t = -1.142857143
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