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Simplifying -7(4 + -1t) = 12t (4 * -7 + -1t * -7) = 12t (-28 + 7t) = 12t Solving -28 + 7t = 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 + 7t + -12t = 12t + -12t Combine like terms: 7t + -12t = -5t -28 + -5t = 12t + -12t Combine like terms: 12t + -12t = 0 -28 + -5t = 0 Add '28' to each side of the equation. -28 + 28 + -5t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5t = 0 + 28 -5t = 0 + 28 Combine like terms: 0 + 28 = 28 -5t = 28 Divide each side by '-5'. t = -5.6 Simplifying t = -5.6
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