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Simplifying 8t + 4(4x + -3) = 4(6t + 4) + -4 Reorder the terms: 8t + 4(-3 + 4x) = 4(6t + 4) + -4 8t + (-3 * 4 + 4x * 4) = 4(6t + 4) + -4 8t + (-12 + 16x) = 4(6t + 4) + -4 Reorder the terms: -12 + 8t + 16x = 4(6t + 4) + -4 Reorder the terms: -12 + 8t + 16x = 4(4 + 6t) + -4 -12 + 8t + 16x = (4 * 4 + 6t * 4) + -4 -12 + 8t + 16x = (16 + 24t) + -4 Reorder the terms: -12 + 8t + 16x = 16 + -4 + 24t Combine like terms: 16 + -4 = 12 -12 + 8t + 16x = 12 + 24t Solving -12 + 8t + 16x = 12 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -12 + 8t + -24t + 16x = 12 + 24t + -24t Combine like terms: 8t + -24t = -16t -12 + -16t + 16x = 12 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 + -16t + 16x = 12 + 0 -12 + -16t + 16x = 12 Add '12' to each side of the equation. -12 + -16t + 12 + 16x = 12 + 12 Reorder the terms: -12 + 12 + -16t + 16x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -16t + 16x = 12 + 12 -16t + 16x = 12 + 12 Combine like terms: 12 + 12 = 24 -16t + 16x = 24 Add '-16x' to each side of the equation. -16t + 16x + -16x = 24 + -16x Combine like terms: 16x + -16x = 0 -16t + 0 = 24 + -16x -16t = 24 + -16x Divide each side by '-16'. t = -1.5 + x Simplifying t = -1.5 + x
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