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Simplifying 11(a + -3) + 5 = 2a + 44 Reorder the terms: 11(-3 + a) + 5 = 2a + 44 (-3 * 11 + a * 11) + 5 = 2a + 44 (-33 + 11a) + 5 = 2a + 44 Reorder the terms: -33 + 5 + 11a = 2a + 44 Combine like terms: -33 + 5 = -28 -28 + 11a = 2a + 44 Reorder the terms: -28 + 11a = 44 + 2a Solving -28 + 11a = 44 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -28 + 11a + -2a = 44 + 2a + -2a Combine like terms: 11a + -2a = 9a -28 + 9a = 44 + 2a + -2a Combine like terms: 2a + -2a = 0 -28 + 9a = 44 + 0 -28 + 9a = 44 Add '28' to each side of the equation. -28 + 28 + 9a = 44 + 28 Combine like terms: -28 + 28 = 0 0 + 9a = 44 + 28 9a = 44 + 28 Combine like terms: 44 + 28 = 72 9a = 72 Divide each side by '9'. a = 8 Simplifying a = 8
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