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Simplifying 3t + -2(t + 5) = 6 + -3t Reorder the terms: 3t + -2(5 + t) = 6 + -3t 3t + (5 * -2 + t * -2) = 6 + -3t 3t + (-10 + -2t) = 6 + -3t Reorder the terms: -10 + 3t + -2t = 6 + -3t Combine like terms: 3t + -2t = 1t -10 + 1t = 6 + -3t Solving -10 + 1t = 6 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -10 + 1t + 3t = 6 + -3t + 3t Combine like terms: 1t + 3t = 4t -10 + 4t = 6 + -3t + 3t Combine like terms: -3t + 3t = 0 -10 + 4t = 6 + 0 -10 + 4t = 6 Add '10' to each side of the equation. -10 + 10 + 4t = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = 6 + 10 4t = 6 + 10 Combine like terms: 6 + 10 = 16 4t = 16 Divide each side by '4'. t = 4 Simplifying t = 4
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