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Simplifying -2(4t + -3) + 6t = 3t + -6 Reorder the terms: -2(-3 + 4t) + 6t = 3t + -6 (-3 * -2 + 4t * -2) + 6t = 3t + -6 (6 + -8t) + 6t = 3t + -6 Combine like terms: -8t + 6t = -2t 6 + -2t = 3t + -6 Reorder the terms: 6 + -2t = -6 + 3t Solving 6 + -2t = -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. 6 + -2t + -3t = -6 + 3t + -3t Combine like terms: -2t + -3t = -5t 6 + -5t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + -5t = -6 + 0 6 + -5t = -6 Add '-6' to each side of the equation. 6 + -6 + -5t = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -6 + -6 -5t = -6 + -6 Combine like terms: -6 + -6 = -12 -5t = -12 Divide each side by '-5'. t = 2.4 Simplifying t = 2.4
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