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Simplifying 7 + 3(2t + -3) + -3(4t + 4) + -9 = 0 Reorder the terms: 7 + 3(-3 + 2t) + -3(4t + 4) + -9 = 0 7 + (-3 * 3 + 2t * 3) + -3(4t + 4) + -9 = 0 7 + (-9 + 6t) + -3(4t + 4) + -9 = 0 Reorder the terms: 7 + -9 + 6t + -3(4 + 4t) + -9 = 0 7 + -9 + 6t + (4 * -3 + 4t * -3) + -9 = 0 7 + -9 + 6t + (-12 + -12t) + -9 = 0 Reorder the terms: 7 + -9 + -12 + -9 + 6t + -12t = 0 Combine like terms: 7 + -9 = -2 -2 + -12 + -9 + 6t + -12t = 0 Combine like terms: -2 + -12 = -14 -14 + -9 + 6t + -12t = 0 Combine like terms: -14 + -9 = -23 -23 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -23 + -6t = 0 Solving -23 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -6t = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -6t = 0 + 23 -6t = 0 + 23 Combine like terms: 0 + 23 = 23 -6t = 23 Divide each side by '-6'. t = -3.833333333 Simplifying t = -3.833333333
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