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Simplifying -3(2t + -4) + 2t = 3t + -5 Reorder the terms: -3(-4 + 2t) + 2t = 3t + -5 (-4 * -3 + 2t * -3) + 2t = 3t + -5 (12 + -6t) + 2t = 3t + -5 Combine like terms: -6t + 2t = -4t 12 + -4t = 3t + -5 Reorder the terms: 12 + -4t = -5 + 3t Solving 12 + -4t = -5 + 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. 12 + -4t + -3t = -5 + 3t + -3t Combine like terms: -4t + -3t = -7t 12 + -7t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -7t = -5 + 0 12 + -7t = -5 Add '-12' to each side of the equation. 12 + -12 + -7t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -5 + -12 -7t = -5 + -12 Combine like terms: -5 + -12 = -17 -7t = -17 Divide each side by '-7'. t = 2.428571429 Simplifying t = 2.428571429
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