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Simplifying -4(3t + -2) + 2t = 7t + -8 Reorder the terms: -4(-2 + 3t) + 2t = 7t + -8 (-2 * -4 + 3t * -4) + 2t = 7t + -8 (8 + -12t) + 2t = 7t + -8 Combine like terms: -12t + 2t = -10t 8 + -10t = 7t + -8 Reorder the terms: 8 + -10t = -8 + 7t Solving 8 + -10t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -10t + -7t = -8 + 7t + -7t Combine like terms: -10t + -7t = -17t 8 + -17t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -17t = -8 + 0 8 + -17t = -8 Add '-8' to each side of the equation. 8 + -8 + -17t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -17t = -8 + -8 -17t = -8 + -8 Combine like terms: -8 + -8 = -16 -17t = -16 Divide each side by '-17'. t = 0.9411764706 Simplifying t = 0.9411764706
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