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Simplifying -3(t + -4) + 8t = 3t + -7 Reorder the terms: -3(-4 + t) + 8t = 3t + -7 (-4 * -3 + t * -3) + 8t = 3t + -7 (12 + -3t) + 8t = 3t + -7 Combine like terms: -3t + 8t = 5t 12 + 5t = 3t + -7 Reorder the terms: 12 + 5t = -7 + 3t Solving 12 + 5t = -7 + 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. 12 + 5t + -3t = -7 + 3t + -3t Combine like terms: 5t + -3t = 2t 12 + 2t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + 2t = -7 + 0 12 + 2t = -7 Add '-12' to each side of the equation. 12 + -12 + 2t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = -7 + -12 2t = -7 + -12 Combine like terms: -7 + -12 = -19 2t = -19 Divide each side by '2'. t = -9.5 Simplifying t = -9.5
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