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Simplifying a(x + 6) + 15(x + 6) = 0 Reorder the terms: a(6 + x) + 15(x + 6) = 0 (6 * a + x * a) + 15(x + 6) = 0 (6a + ax) + 15(x + 6) = 0 Reorder the terms: 6a + ax + 15(6 + x) = 0 6a + ax + (6 * 15 + x * 15) = 0 6a + ax + (90 + 15x) = 0 Reorder the terms: 90 + 6a + ax + 15x = 0 Solving 90 + 6a + ax + 15x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 6a + ax + -90 + 15x = 0 + -90 Reorder the terms: 90 + -90 + 6a + ax + 15x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 6a + ax + 15x = 0 + -90 6a + ax + 15x = 0 + -90 Combine like terms: 0 + -90 = -90 6a + ax + 15x = -90 Add '-15x' to each side of the equation. 6a + ax + 15x + -15x = -90 + -15x Combine like terms: 15x + -15x = 0 6a + ax + 0 = -90 + -15x 6a + ax = -90 + -15x Reorder the terms: 90 + 6a + ax + 15x = -90 + -15x + 90 + 15x Reorder the terms: 90 + 6a + ax + 15x = -90 + 90 + -15x + 15x Combine like terms: -90 + 90 = 0 90 + 6a + ax + 15x = 0 + -15x + 15x 90 + 6a + ax + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 90 + 6a + ax + 15x = 0 The solution to this equation could not be determined.
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