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Simplifying 3q3 + 18q2 + 8a + 48 = 0 Reorder the terms: 48 + 8a + 18q2 + 3q3 = 0 Solving 48 + 8a + 18q2 + 3q3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8a + 18q2 + -48 + 3q3 = 0 + -48 Reorder the terms: 48 + -48 + 8a + 18q2 + 3q3 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8a + 18q2 + 3q3 = 0 + -48 8a + 18q2 + 3q3 = 0 + -48 Combine like terms: 0 + -48 = -48 8a + 18q2 + 3q3 = -48 Add '-18q2' to each side of the equation. 8a + 18q2 + -18q2 + 3q3 = -48 + -18q2 Combine like terms: 18q2 + -18q2 = 0 8a + 0 + 3q3 = -48 + -18q2 8a + 3q3 = -48 + -18q2 Add '-3q3' to each side of the equation. 8a + 3q3 + -3q3 = -48 + -18q2 + -3q3 Combine like terms: 3q3 + -3q3 = 0 8a + 0 = -48 + -18q2 + -3q3 8a = -48 + -18q2 + -3q3 Divide each side by '8'. a = -6 + -2.25q2 + -0.375q3 Simplifying a = -6 + -2.25q2 + -0.375q3
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