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Simplifying 5(2t + -4) = 2(3t + 2) Reorder the terms: 5(-4 + 2t) = 2(3t + 2) (-4 * 5 + 2t * 5) = 2(3t + 2) (-20 + 10t) = 2(3t + 2) Reorder the terms: -20 + 10t = 2(2 + 3t) -20 + 10t = (2 * 2 + 3t * 2) -20 + 10t = (4 + 6t) Solving -20 + 10t = 4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -20 + 10t + -6t = 4 + 6t + -6t Combine like terms: 10t + -6t = 4t -20 + 4t = 4 + 6t + -6t Combine like terms: 6t + -6t = 0 -20 + 4t = 4 + 0 -20 + 4t = 4 Add '20' to each side of the equation. -20 + 20 + 4t = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 4t = 4 + 20 4t = 4 + 20 Combine like terms: 4 + 20 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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