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Simplifying 4(3 + -1t) + -2(3t * 4) = -16 + -1t (3 * 4 + -1t * 4) + -2(3t * 4) = -16 + -1t (12 + -4t) + -2(3t * 4) = -16 + -1t Reorder the terms for easier multiplication: 12 + -4t + -2(3 * 4t) = -16 + -1t Multiply 3 * 4 12 + -4t + -2(12t) = -16 + -1t Remove parenthesis around (12t) 12 + -4t + -2 * 12t = -16 + -1t Multiply -2 * 12 12 + -4t + -24t = -16 + -1t Combine like terms: -4t + -24t = -28t 12 + -28t = -16 + -1t Solving 12 + -28t = -16 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 12 + -28t + t = -16 + -1t + t Combine like terms: -28t + t = -27t 12 + -27t = -16 + -1t + t Combine like terms: -1t + t = 0 12 + -27t = -16 + 0 12 + -27t = -16 Add '-12' to each side of the equation. 12 + -12 + -27t = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -27t = -16 + -12 -27t = -16 + -12 Combine like terms: -16 + -12 = -28 -27t = -28 Divide each side by '-27'. t = 1.037037037 Simplifying t = 1.037037037
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