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Simplifying 2(5t + -4) + 4t = 3t + -6 Reorder the terms: 2(-4 + 5t) + 4t = 3t + -6 (-4 * 2 + 5t * 2) + 4t = 3t + -6 (-8 + 10t) + 4t = 3t + -6 Combine like terms: 10t + 4t = 14t -8 + 14t = 3t + -6 Reorder the terms: -8 + 14t = -6 + 3t Solving -8 + 14t = -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. -8 + 14t + -3t = -6 + 3t + -3t Combine like terms: 14t + -3t = 11t -8 + 11t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 11t = -6 + 0 -8 + 11t = -6 Add '8' to each side of the equation. -8 + 8 + 11t = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 11t = -6 + 8 11t = -6 + 8 Combine like terms: -6 + 8 = 2 11t = 2 Divide each side by '11'. t = 0.1818181818 Simplifying t = 0.1818181818
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