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Simplifying -4(t + -4) + 8 = 9t + -1 Reorder the terms: -4(-4 + t) + 8 = 9t + -1 (-4 * -4 + t * -4) + 8 = 9t + -1 (16 + -4t) + 8 = 9t + -1 Reorder the terms: 16 + 8 + -4t = 9t + -1 Combine like terms: 16 + 8 = 24 24 + -4t = 9t + -1 Reorder the terms: 24 + -4t = -1 + 9t Solving 24 + -4t = -1 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 24 + -4t + -9t = -1 + 9t + -9t Combine like terms: -4t + -9t = -13t 24 + -13t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 24 + -13t = -1 + 0 24 + -13t = -1 Add '-24' to each side of the equation. 24 + -24 + -13t = -1 + -24 Combine like terms: 24 + -24 = 0 0 + -13t = -1 + -24 -13t = -1 + -24 Combine like terms: -1 + -24 = -25 -13t = -25 Divide each side by '-13'. t = 1.923076923 Simplifying t = 1.923076923
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