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Simplifying 4(4t + 2) = 3(x + -2) + -3 Reorder the terms: 4(2 + 4t) = 3(x + -2) + -3 (2 * 4 + 4t * 4) = 3(x + -2) + -3 (8 + 16t) = 3(x + -2) + -3 Reorder the terms: 8 + 16t = 3(-2 + x) + -3 8 + 16t = (-2 * 3 + x * 3) + -3 8 + 16t = (-6 + 3x) + -3 Reorder the terms: 8 + 16t = -6 + -3 + 3x Combine like terms: -6 + -3 = -9 8 + 16t = -9 + 3x Solving 8 + 16t = -9 + 3x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16t = -9 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 16t = -9 + -8 + 3x 16t = -9 + -8 + 3x Combine like terms: -9 + -8 = -17 16t = -17 + 3x Divide each side by '16'. t = -1.0625 + 0.1875x Simplifying t = -1.0625 + 0.1875x
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