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Simplifying 3t + 8(2 + -6) = 2 + 14t Combine like terms: 2 + -6 = -4 3t + 8(-4) = 2 + 14t Multiply 8 * -4 3t + -32 = 2 + 14t Reorder the terms: -32 + 3t = 2 + 14t Solving -32 + 3t = 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. -32 + 3t + -14t = 2 + 14t + -14t Combine like terms: 3t + -14t = -11t -32 + -11t = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -32 + -11t = 2 + 0 -32 + -11t = 2 Add '32' to each side of the equation. -32 + 32 + -11t = 2 + 32 Combine like terms: -32 + 32 = 0 0 + -11t = 2 + 32 -11t = 2 + 32 Combine like terms: 2 + 32 = 34 -11t = 34 Divide each side by '-11'. t = -3.090909091 Simplifying t = -3.090909091
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