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Simplifying -4(3t + -5) + 7t = 2t + -6 Reorder the terms: -4(-5 + 3t) + 7t = 2t + -6 (-5 * -4 + 3t * -4) + 7t = 2t + -6 (20 + -12t) + 7t = 2t + -6 Combine like terms: -12t + 7t = -5t 20 + -5t = 2t + -6 Reorder the terms: 20 + -5t = -6 + 2t Solving 20 + -5t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 20 + -5t + -2t = -6 + 2t + -2t Combine like terms: -5t + -2t = -7t 20 + -7t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 20 + -7t = -6 + 0 20 + -7t = -6 Add '-20' to each side of the equation. 20 + -20 + -7t = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = -6 + -20 -7t = -6 + -20 Combine like terms: -6 + -20 = -26 -7t = -26 Divide each side by '-7'. t = 3.714285714 Simplifying t = 3.714285714
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