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Simplifying -4(t + -3) + 9t = 8t + -5 Reorder the terms: -4(-3 + t) + 9t = 8t + -5 (-3 * -4 + t * -4) + 9t = 8t + -5 (12 + -4t) + 9t = 8t + -5 Combine like terms: -4t + 9t = 5t 12 + 5t = 8t + -5 Reorder the terms: 12 + 5t = -5 + 8t Solving 12 + 5t = -5 + 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. 12 + 5t + -8t = -5 + 8t + -8t Combine like terms: 5t + -8t = -3t 12 + -3t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -3t = -5 + 0 12 + -3t = -5 Add '-12' to each side of the equation. 12 + -12 + -3t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -3t = -5 + -12 -3t = -5 + -12 Combine like terms: -5 + -12 = -17 -3t = -17 Divide each side by '-3'. t = 5.666666667 Simplifying t = 5.666666667
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