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Simplifying 9(9 + -4) = 12(12t + -3) Combine like terms: 9 + -4 = 5 9(5) = 12(12t + -3) Multiply 9 * 5 45 = 12(12t + -3) Reorder the terms: 45 = 12(-3 + 12t) 45 = (-3 * 12 + 12t * 12) 45 = (-36 + 144t) Solving 45 = -36 + 144t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-144t' to each side of the equation. 45 + -144t = -36 + 144t + -144t Combine like terms: 144t + -144t = 0 45 + -144t = -36 + 0 45 + -144t = -36 Add '-45' to each side of the equation. 45 + -45 + -144t = -36 + -45 Combine like terms: 45 + -45 = 0 0 + -144t = -36 + -45 -144t = -36 + -45 Combine like terms: -36 + -45 = -81 -144t = -81 Divide each side by '-144'. t = 0.5625 Simplifying t = 0.5625
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