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Simplifying 7 + 8a = 7(2a + -5) Reorder the terms: 7 + 8a = 7(-5 + 2a) 7 + 8a = (-5 * 7 + 2a * 7) 7 + 8a = (-35 + 14a) Solving 7 + 8a = -35 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 7 + 8a + -14a = -35 + 14a + -14a Combine like terms: 8a + -14a = -6a 7 + -6a = -35 + 14a + -14a Combine like terms: 14a + -14a = 0 7 + -6a = -35 + 0 7 + -6a = -35 Add '-7' to each side of the equation. 7 + -7 + -6a = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -35 + -7 -6a = -35 + -7 Combine like terms: -35 + -7 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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