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Simplifying 7a(5 + 2b) + 11 = 24a + 14ab + -7 (5 * 7a + 2b * 7a) + 11 = 24a + 14ab + -7 (35a + 14ab) + 11 = 24a + 14ab + -7 Reorder the terms: 11 + 35a + 14ab = 24a + 14ab + -7 Reorder the terms: 11 + 35a + 14ab = -7 + 24a + 14ab Add '-14ab' to each side of the equation. 11 + 35a + 14ab + -14ab = -7 + 24a + 14ab + -14ab Combine like terms: 14ab + -14ab = 0 11 + 35a + 0 = -7 + 24a + 14ab + -14ab 11 + 35a = -7 + 24a + 14ab + -14ab Combine like terms: 14ab + -14ab = 0 11 + 35a = -7 + 24a + 0 11 + 35a = -7 + 24a Solving 11 + 35a = -7 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 11 + 35a + -24a = -7 + 24a + -24a Combine like terms: 35a + -24a = 11a 11 + 11a = -7 + 24a + -24a Combine like terms: 24a + -24a = 0 11 + 11a = -7 + 0 11 + 11a = -7 Add '-11' to each side of the equation. 11 + -11 + 11a = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 11a = -7 + -11 11a = -7 + -11 Combine like terms: -7 + -11 = -18 11a = -18 Divide each side by '11'. a = -1.636363636 Simplifying a = -1.636363636
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