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Simplifying 7(4 + -3t) = 12t + -8 (4 * 7 + -3t * 7) = 12t + -8 (28 + -21t) = 12t + -8 Reorder the terms: 28 + -21t = -8 + 12t Solving 28 + -21t = -8 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 28 + -21t + -12t = -8 + 12t + -12t Combine like terms: -21t + -12t = -33t 28 + -33t = -8 + 12t + -12t Combine like terms: 12t + -12t = 0 28 + -33t = -8 + 0 28 + -33t = -8 Add '-28' to each side of the equation. 28 + -28 + -33t = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -33t = -8 + -28 -33t = -8 + -28 Combine like terms: -8 + -28 = -36 -33t = -36 Divide each side by '-33'. t = 1.090909091 Simplifying t = 1.090909091
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