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Simplifying 3t + 4 = -6(4t + 2) Reorder the terms: 4 + 3t = -6(4t + 2) Reorder the terms: 4 + 3t = -6(2 + 4t) 4 + 3t = (2 * -6 + 4t * -6) 4 + 3t = (-12 + -24t) Solving 4 + 3t = -12 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 4 + 3t + 24t = -12 + -24t + 24t Combine like terms: 3t + 24t = 27t 4 + 27t = -12 + -24t + 24t Combine like terms: -24t + 24t = 0 4 + 27t = -12 + 0 4 + 27t = -12 Add '-4' to each side of the equation. 4 + -4 + 27t = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 27t = -12 + -4 27t = -12 + -4 Combine like terms: -12 + -4 = -16 27t = -16 Divide each side by '27'. t = -0.5925925926 Simplifying t = -0.5925925926
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