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Simplifying 6(t + -3) + 4t = 5(2 + 4) + -10 Reorder the terms: 6(-3 + t) + 4t = 5(2 + 4) + -10 (-3 * 6 + t * 6) + 4t = 5(2 + 4) + -10 (-18 + 6t) + 4t = 5(2 + 4) + -10 Combine like terms: 6t + 4t = 10t -18 + 10t = 5(2 + 4) + -10 Combine like terms: 2 + 4 = 6 -18 + 10t = 5(6) + -10 Multiply 5 * 6 -18 + 10t = 30 + -10 Combine like terms: 30 + -10 = 20 -18 + 10t = 20 Solving -18 + 10t = 20 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10t = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 10t = 20 + 18 10t = 20 + 18 Combine like terms: 20 + 18 = 38 10t = 38 Divide each side by '10'. t = 3.8 Simplifying t = 3.8
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