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Simplifying -2(5t + -4) + 3t = 4t + -9 Reorder the terms: -2(-4 + 5t) + 3t = 4t + -9 (-4 * -2 + 5t * -2) + 3t = 4t + -9 (8 + -10t) + 3t = 4t + -9 Combine like terms: -10t + 3t = -7t 8 + -7t = 4t + -9 Reorder the terms: 8 + -7t = -9 + 4t Solving 8 + -7t = -9 + 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. 8 + -7t + -4t = -9 + 4t + -4t Combine like terms: -7t + -4t = -11t 8 + -11t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -11t = -9 + 0 8 + -11t = -9 Add '-8' to each side of the equation. 8 + -8 + -11t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -9 + -8 -11t = -9 + -8 Combine like terms: -9 + -8 = -17 -11t = -17 Divide each side by '-11'. t = 1.545454545 Simplifying t = 1.545454545
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