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Simplifying 9t + -4(5t + 1) = 8t + -3 Reorder the terms: 9t + -4(1 + 5t) = 8t + -3 9t + (1 * -4 + 5t * -4) = 8t + -3 9t + (-4 + -20t) = 8t + -3 Reorder the terms: -4 + 9t + -20t = 8t + -3 Combine like terms: 9t + -20t = -11t -4 + -11t = 8t + -3 Reorder the terms: -4 + -11t = -3 + 8t Solving -4 + -11t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -4 + -11t + -8t = -3 + 8t + -8t Combine like terms: -11t + -8t = -19t -4 + -19t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 + -19t = -3 + 0 -4 + -19t = -3 Add '4' to each side of the equation. -4 + 4 + -19t = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -19t = -3 + 4 -19t = -3 + 4 Combine like terms: -3 + 4 = 1 -19t = 1 Divide each side by '-19'. t = -0.05263157895 Simplifying t = -0.05263157895
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