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Simplifying 2(3t + -4) = 5(2t + -4) Reorder the terms: 2(-4 + 3t) = 5(2t + -4) (-4 * 2 + 3t * 2) = 5(2t + -4) (-8 + 6t) = 5(2t + -4) Reorder the terms: -8 + 6t = 5(-4 + 2t) -8 + 6t = (-4 * 5 + 2t * 5) -8 + 6t = (-20 + 10t) Solving -8 + 6t = -20 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -8 + 6t + -10t = -20 + 10t + -10t Combine like terms: 6t + -10t = -4t -8 + -4t = -20 + 10t + -10t Combine like terms: 10t + -10t = 0 -8 + -4t = -20 + 0 -8 + -4t = -20 Add '8' to each side of the equation. -8 + 8 + -4t = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -4t = -20 + 8 -4t = -20 + 8 Combine like terms: -20 + 8 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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