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Simplifying -2(4t + -2) + 3t = 4t + -7 Reorder the terms: -2(-2 + 4t) + 3t = 4t + -7 (-2 * -2 + 4t * -2) + 3t = 4t + -7 (4 + -8t) + 3t = 4t + -7 Combine like terms: -8t + 3t = -5t 4 + -5t = 4t + -7 Reorder the terms: 4 + -5t = -7 + 4t Solving 4 + -5t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 4 + -5t + -4t = -7 + 4t + -4t Combine like terms: -5t + -4t = -9t 4 + -9t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + -9t = -7 + 0 4 + -9t = -7 Add '-4' to each side of the equation. 4 + -4 + -9t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = -7 + -4 -9t = -7 + -4 Combine like terms: -7 + -4 = -11 -9t = -11 Divide each side by '-9'. t = 1.222222222 Simplifying t = 1.222222222
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