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Simplifying 14t + -1(-12t) + -2t + -1(-8) = -16 Remove parenthesis around (-12t) 14t + -1 * -12t + -2t + -1(-8) = -16 Multiply -1 * -12 14t + 12t + -2t + -1(-8) = -16 Multiply -1 * -8 14t + 12t + -2t + 8 = -16 Reorder the terms: 8 + 14t + 12t + -2t = -16 Combine like terms: 14t + 12t = 26t 8 + 26t + -2t = -16 Combine like terms: 26t + -2t = 24t 8 + 24t = -16 Solving 8 + 24t = -16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 24t = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 24t = -16 + -8 24t = -16 + -8 Combine like terms: -16 + -8 = -24 24t = -24 Divide each side by '24'. t = -1 Simplifying t = -1
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