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Simplifying 3t + 8(2x + -6) = 2 + 14t Reorder the terms: 3t + 8(-6 + 2x) = 2 + 14t 3t + (-6 * 8 + 2x * 8) = 2 + 14t 3t + (-48 + 16x) = 2 + 14t Reorder the terms: -48 + 3t + 16x = 2 + 14t Solving -48 + 3t + 16x = 2 + 14t 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 + 3t + -14t + 16x = 2 + 14t + -14t Combine like terms: 3t + -14t = -11t -48 + -11t + 16x = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -48 + -11t + 16x = 2 + 0 -48 + -11t + 16x = 2 Add '48' to each side of the equation. -48 + -11t + 48 + 16x = 2 + 48 Reorder the terms: -48 + 48 + -11t + 16x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -11t + 16x = 2 + 48 -11t + 16x = 2 + 48 Combine like terms: 2 + 48 = 50 -11t + 16x = 50 Add '-16x' to each side of the equation. -11t + 16x + -16x = 50 + -16x Combine like terms: 16x + -16x = 0 -11t + 0 = 50 + -16x -11t = 50 + -16x Divide each side by '-11'. t = -4.545454545 + 1.454545455x Simplifying t = -4.545454545 + 1.454545455x
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