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Simplifying 3x + 8(2t + -6) = 2 + 14x Reorder the terms: 3x + 8(-6 + 2t) = 2 + 14x 3x + (-6 * 8 + 2t * 8) = 2 + 14x 3x + (-48 + 16t) = 2 + 14x Reorder the terms: -48 + 16t + 3x = 2 + 14x Solving -48 + 16t + 3x = 2 + 14x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 16t + 48 + 3x = 2 + 48 + 14x Reorder the terms: -48 + 48 + 16t + 3x = 2 + 48 + 14x Combine like terms: -48 + 48 = 0 0 + 16t + 3x = 2 + 48 + 14x 16t + 3x = 2 + 48 + 14x Combine like terms: 2 + 48 = 50 16t + 3x = 50 + 14x Add '-3x' to each side of the equation. 16t + 3x + -3x = 50 + 14x + -3x Combine like terms: 3x + -3x = 0 16t + 0 = 50 + 14x + -3x 16t = 50 + 14x + -3x Combine like terms: 14x + -3x = 11x 16t = 50 + 11x Divide each side by '16'. t = 3.125 + 0.6875x Simplifying t = 3.125 + 0.6875x
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