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Simplifying 7(6 + -2a) = (a + 4) (6 * 7 + -2a * 7) = (a + 4) (42 + -14a) = (a + 4) Reorder the terms: 42 + -14a = (4 + a) Remove parenthesis around (4 + a) 42 + -14a = 4 + a Solving 42 + -14a = 4 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 42 + -14a + -1a = 4 + a + -1a Combine like terms: -14a + -1a = -15a 42 + -15a = 4 + a + -1a Combine like terms: a + -1a = 0 42 + -15a = 4 + 0 42 + -15a = 4 Add '-42' to each side of the equation. 42 + -42 + -15a = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -15a = 4 + -42 -15a = 4 + -42 Combine like terms: 4 + -42 = -38 -15a = -38 Divide each side by '-15'. a = 2.533333333 Simplifying a = 2.533333333
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