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Simplifying -3(t + -4) + 7t = 8t + -7 Reorder the terms: -3(-4 + t) + 7t = 8t + -7 (-4 * -3 + t * -3) + 7t = 8t + -7 (12 + -3t) + 7t = 8t + -7 Combine like terms: -3t + 7t = 4t 12 + 4t = 8t + -7 Reorder the terms: 12 + 4t = -7 + 8t Solving 12 + 4t = -7 + 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 = -7 + 8t + -8t Combine like terms: 4t + -8t = -4t 12 + -4t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -4t = -7 + 0 12 + -4t = -7 Add '-12' to each side of the equation. 12 + -12 + -4t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -7 + -12 -4t = -7 + -12 Combine like terms: -7 + -12 = -19 -4t = -19 Divide each side by '-4'. t = 4.75 Simplifying t = 4.75
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