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Simplifying 6(3t + -4) + -4t = 4(t + -2) Reorder the terms: 6(-4 + 3t) + -4t = 4(t + -2) (-4 * 6 + 3t * 6) + -4t = 4(t + -2) (-24 + 18t) + -4t = 4(t + -2) Combine like terms: 18t + -4t = 14t -24 + 14t = 4(t + -2) Reorder the terms: -24 + 14t = 4(-2 + t) -24 + 14t = (-2 * 4 + t * 4) -24 + 14t = (-8 + 4t) Solving -24 + 14t = -8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -24 + 14t + -4t = -8 + 4t + -4t Combine like terms: 14t + -4t = 10t -24 + 10t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 -24 + 10t = -8 + 0 -24 + 10t = -8 Add '24' to each side of the equation. -24 + 24 + 10t = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 10t = -8 + 24 10t = -8 + 24 Combine like terms: -8 + 24 = 16 10t = 16 Divide each side by '10'. t = 1.6 Simplifying t = 1.6
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