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Simplifying -3(t + -4) + 7t = 8t + -9 Reorder the terms: -3(-4 + t) + 7t = 8t + -9 (-4 * -3 + t * -3) + 7t = 8t + -9 (12 + -3t) + 7t = 8t + -9 Combine like terms: -3t + 7t = 4t 12 + 4t = 8t + -9 Reorder the terms: 12 + 4t = -9 + 8t Solving 12 + 4t = -9 + 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 + 4t + -8t = -9 + 8t + -8t Combine like terms: 4t + -8t = -4t 12 + -4t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -4t = -9 + 0 12 + -4t = -9 Add '-12' to each side of the equation. 12 + -12 + -4t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -9 + -12 -4t = -9 + -12 Combine like terms: -9 + -12 = -21 -4t = -21 Divide each side by '-4'. t = 5.25 Simplifying t = 5.25
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