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Simplifying 6(t + -6) + 4t = 5(2 + 4) + -8 Reorder the terms: 6(-6 + t) + 4t = 5(2 + 4) + -8 (-6 * 6 + t * 6) + 4t = 5(2 + 4) + -8 (-36 + 6t) + 4t = 5(2 + 4) + -8 Combine like terms: 6t + 4t = 10t -36 + 10t = 5(2 + 4) + -8 Combine like terms: 2 + 4 = 6 -36 + 10t = 5(6) + -8 Multiply 5 * 6 -36 + 10t = 30 + -8 Combine like terms: 30 + -8 = 22 -36 + 10t = 22 Solving -36 + 10t = 22 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 10t = 22 + 36 Combine like terms: -36 + 36 = 0 0 + 10t = 22 + 36 10t = 22 + 36 Combine like terms: 22 + 36 = 58 10t = 58 Divide each side by '10'. t = 5.8 Simplifying t = 5.8
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