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Simplifying -9(5 + -7t) + 4 = 12t (5 * -9 + -7t * -9) + 4 = 12t (-45 + 63t) + 4 = 12t Reorder the terms: -45 + 4 + 63t = 12t Combine like terms: -45 + 4 = -41 -41 + 63t = 12t Solving -41 + 63t = 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. -41 + 63t + -12t = 12t + -12t Combine like terms: 63t + -12t = 51t -41 + 51t = 12t + -12t Combine like terms: 12t + -12t = 0 -41 + 51t = 0 Add '41' to each side of the equation. -41 + 41 + 51t = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 51t = 0 + 41 51t = 0 + 41 Combine like terms: 0 + 41 = 41 51t = 41 Divide each side by '51'. t = 0.8039215686 Simplifying t = 0.8039215686
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