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Simplifying 11(a + -2) = 5(2a + 7) Reorder the terms: 11(-2 + a) = 5(2a + 7) (-2 * 11 + a * 11) = 5(2a + 7) (-22 + 11a) = 5(2a + 7) Reorder the terms: -22 + 11a = 5(7 + 2a) -22 + 11a = (7 * 5 + 2a * 5) -22 + 11a = (35 + 10a) Solving -22 + 11a = 35 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -22 + 11a + -10a = 35 + 10a + -10a Combine like terms: 11a + -10a = 1a -22 + 1a = 35 + 10a + -10a Combine like terms: 10a + -10a = 0 -22 + 1a = 35 + 0 -22 + 1a = 35 Add '22' to each side of the equation. -22 + 22 + 1a = 35 + 22 Combine like terms: -22 + 22 = 0 0 + 1a = 35 + 22 1a = 35 + 22 Combine like terms: 35 + 22 = 57 1a = 57 Divide each side by '1'. a = 57 Simplifying a = 57
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