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Simplifying 7a + -46 = 11(-11 + 2a) Reorder the terms: -46 + 7a = 11(-11 + 2a) -46 + 7a = (-11 * 11 + 2a * 11) -46 + 7a = (-121 + 22a) Solving -46 + 7a = -121 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -46 + 7a + -22a = -121 + 22a + -22a Combine like terms: 7a + -22a = -15a -46 + -15a = -121 + 22a + -22a Combine like terms: 22a + -22a = 0 -46 + -15a = -121 + 0 -46 + -15a = -121 Add '46' to each side of the equation. -46 + 46 + -15a = -121 + 46 Combine like terms: -46 + 46 = 0 0 + -15a = -121 + 46 -15a = -121 + 46 Combine like terms: -121 + 46 = -75 -15a = -75 Divide each side by '-15'. a = 5 Simplifying a = 5
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