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Simplifying 3(t + 3) + -2(a + -1) = 0 Reorder the terms: 3(3 + t) + -2(a + -1) = 0 (3 * 3 + t * 3) + -2(a + -1) = 0 (9 + 3t) + -2(a + -1) = 0 Reorder the terms: 9 + 3t + -2(-1 + a) = 0 9 + 3t + (-1 * -2 + a * -2) = 0 9 + 3t + (2 + -2a) = 0 Reorder the terms: 9 + 2 + -2a + 3t = 0 Combine like terms: 9 + 2 = 11 11 + -2a + 3t = 0 Solving 11 + -2a + 3t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -2a + -11 + 3t = 0 + -11 Reorder the terms: 11 + -11 + -2a + 3t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2a + 3t = 0 + -11 -2a + 3t = 0 + -11 Combine like terms: 0 + -11 = -11 -2a + 3t = -11 Add '-3t' to each side of the equation. -2a + 3t + -3t = -11 + -3t Combine like terms: 3t + -3t = 0 -2a + 0 = -11 + -3t -2a = -11 + -3t Divide each side by '-2'. a = 5.5 + 1.5t Simplifying a = 5.5 + 1.5t
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