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Simplifying -4(3t + -4) + 7t = 8t + -3 Reorder the terms: -4(-4 + 3t) + 7t = 8t + -3 (-4 * -4 + 3t * -4) + 7t = 8t + -3 (16 + -12t) + 7t = 8t + -3 Combine like terms: -12t + 7t = -5t 16 + -5t = 8t + -3 Reorder the terms: 16 + -5t = -3 + 8t Solving 16 + -5t = -3 + 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. 16 + -5t + -8t = -3 + 8t + -8t Combine like terms: -5t + -8t = -13t 16 + -13t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -13t = -3 + 0 16 + -13t = -3 Add '-16' to each side of the equation. 16 + -16 + -13t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -13t = -3 + -16 -13t = -3 + -16 Combine like terms: -3 + -16 = -19 -13t = -19 Divide each side by '-13'. t = 1.461538462 Simplifying t = 1.461538462
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