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Simplifying 3t + 8(2t + -6) = 2x + 14t Reorder the terms: 3t + 8(-6 + 2t) = 2x + 14t 3t + (-6 * 8 + 2t * 8) = 2x + 14t 3t + (-48 + 16t) = 2x + 14t Reorder the terms: -48 + 3t + 16t = 2x + 14t Combine like terms: 3t + 16t = 19t -48 + 19t = 2x + 14t Reorder the terms: -48 + 19t = 14t + 2x Solving -48 + 19t = 14t + 2x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -48 + 19t + -14t = 14t + -14t + 2x Combine like terms: 19t + -14t = 5t -48 + 5t = 14t + -14t + 2x Combine like terms: 14t + -14t = 0 -48 + 5t = 0 + 2x -48 + 5t = 2x Add '48' to each side of the equation. -48 + 48 + 5t = 48 + 2x Combine like terms: -48 + 48 = 0 0 + 5t = 48 + 2x 5t = 48 + 2x Divide each side by '5'. t = 9.6 + 0.4x Simplifying t = 9.6 + 0.4x
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