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Simplifying -4(5t + -2) + 9t = 5t + 7 Reorder the terms: -4(-2 + 5t) + 9t = 5t + 7 (-2 * -4 + 5t * -4) + 9t = 5t + 7 (8 + -20t) + 9t = 5t + 7 Combine like terms: -20t + 9t = -11t 8 + -11t = 5t + 7 Reorder the terms: 8 + -11t = 7 + 5t Solving 8 + -11t = 7 + 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. 8 + -11t + -5t = 7 + 5t + -5t Combine like terms: -11t + -5t = -16t 8 + -16t = 7 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -16t = 7 + 0 8 + -16t = 7 Add '-8' to each side of the equation. 8 + -8 + -16t = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -16t = 7 + -8 -16t = 7 + -8 Combine like terms: 7 + -8 = -1 -16t = -1 Divide each side by '-16'. t = 0.0625 Simplifying t = 0.0625
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