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Simplifying 4(7 + 2t) = 7 + -4(6 + -3t) (7 * 4 + 2t * 4) = 7 + -4(6 + -3t) (28 + 8t) = 7 + -4(6 + -3t) 28 + 8t = 7 + (6 * -4 + -3t * -4) 28 + 8t = 7 + (-24 + 12t) Combine like terms: 7 + -24 = -17 28 + 8t = -17 + 12t Solving 28 + 8t = -17 + 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 + 8t + -12t = -17 + 12t + -12t Combine like terms: 8t + -12t = -4t 28 + -4t = -17 + 12t + -12t Combine like terms: 12t + -12t = 0 28 + -4t = -17 + 0 28 + -4t = -17 Add '-28' to each side of the equation. 28 + -28 + -4t = -17 + -28 Combine like terms: 28 + -28 = 0 0 + -4t = -17 + -28 -4t = -17 + -28 Combine like terms: -17 + -28 = -45 -4t = -45 Divide each side by '-4'. t = 11.25 Simplifying t = 11.25
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