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Simplifying -4(t + -1) + 8 = 9t + -5 Reorder the terms: -4(-1 + t) + 8 = 9t + -5 (-1 * -4 + t * -4) + 8 = 9t + -5 (4 + -4t) + 8 = 9t + -5 Reorder the terms: 4 + 8 + -4t = 9t + -5 Combine like terms: 4 + 8 = 12 12 + -4t = 9t + -5 Reorder the terms: 12 + -4t = -5 + 9t Solving 12 + -4t = -5 + 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. 12 + -4t + -9t = -5 + 9t + -9t Combine like terms: -4t + -9t = -13t 12 + -13t = -5 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -13t = -5 + 0 12 + -13t = -5 Add '-12' to each side of the equation. 12 + -12 + -13t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -5 + -12 -13t = -5 + -12 Combine like terms: -5 + -12 = -17 -13t = -17 Divide each side by '-13'. t = 1.307692308 Simplifying t = 1.307692308
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