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Simplifying 6t + 3(5 + -4) = 12(2 + -5) Combine like terms: 5 + -4 = 1 6t + 3(1) = 12(2 + -5) Multiply 3 * 1 6t + 3 = 12(2 + -5) Reorder the terms: 3 + 6t = 12(2 + -5) Combine like terms: 2 + -5 = -3 3 + 6t = 12(-3) Multiply 12 * -3 3 + 6t = -36 Solving 3 + 6t = -36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6t = -36 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = -36 + -3 6t = -36 + -3 Combine like terms: -36 + -3 = -39 6t = -39 Divide each side by '6'. t = -6.5 Simplifying t = -6.5
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