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Simplifying -2(t + -4) + 9t = 3t + -5 Reorder the terms: -2(-4 + t) + 9t = 3t + -5 (-4 * -2 + t * -2) + 9t = 3t + -5 (8 + -2t) + 9t = 3t + -5 Combine like terms: -2t + 9t = 7t 8 + 7t = 3t + -5 Reorder the terms: 8 + 7t = -5 + 3t Solving 8 + 7t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 8 + 7t + -3t = -5 + 3t + -3t Combine like terms: 7t + -3t = 4t 8 + 4t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 4t = -5 + 0 8 + 4t = -5 Add '-8' to each side of the equation. 8 + -8 + 4t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = -5 + -8 4t = -5 + -8 Combine like terms: -5 + -8 = -13 4t = -13 Divide each side by '4'. t = -3.25 Simplifying t = -3.25
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