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Simplifying -4(5t + -3) + 9t = 5t + -9 Reorder the terms: -4(-3 + 5t) + 9t = 5t + -9 (-3 * -4 + 5t * -4) + 9t = 5t + -9 (12 + -20t) + 9t = 5t + -9 Combine like terms: -20t + 9t = -11t 12 + -11t = 5t + -9 Reorder the terms: 12 + -11t = -9 + 5t Solving 12 + -11t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 12 + -11t + -5t = -9 + 5t + -5t Combine like terms: -11t + -5t = -16t 12 + -16t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -16t = -9 + 0 12 + -16t = -9 Add '-12' to each side of the equation. 12 + -12 + -16t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -16t = -9 + -12 -16t = -9 + -12 Combine like terms: -9 + -12 = -21 -16t = -21 Divide each side by '-16'. t = 1.3125 Simplifying t = 1.3125
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