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Simplifying 5(t + -4) = 3t + 6 Reorder the terms: 5(-4 + t) = 3t + 6 (-4 * 5 + t * 5) = 3t + 6 (-20 + 5t) = 3t + 6 Reorder the terms: -20 + 5t = 6 + 3t Solving -20 + 5t = 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. -20 + 5t + -3t = 6 + 3t + -3t Combine like terms: 5t + -3t = 2t -20 + 2t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 -20 + 2t = 6 + 0 -20 + 2t = 6 Add '20' to each side of the equation. -20 + 20 + 2t = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2t = 6 + 20 2t = 6 + 20 Combine like terms: 6 + 20 = 26 2t = 26 Divide each side by '2'. t = 13 Simplifying t = 13
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