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Simplifying -168 = 7(6 + 5a) -168 = (6 * 7 + 5a * 7) -168 = (42 + 35a) Solving -168 = 42 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -168 + -35a = 42 + 35a + -35a Combine like terms: 35a + -35a = 0 -168 + -35a = 42 + 0 -168 + -35a = 42 Add '168' to each side of the equation. -168 + 168 + -35a = 42 + 168 Combine like terms: -168 + 168 = 0 0 + -35a = 42 + 168 -35a = 42 + 168 Combine like terms: 42 + 168 = 210 -35a = 210 Divide each side by '-35'. a = -6 Simplifying a = -6
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