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Simplifying 42 = 14(a + -4) Reorder the terms: 42 = 14(-4 + a) 42 = (-4 * 14 + a * 14) 42 = (-56 + 14a) Solving 42 = -56 + 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. 42 + -14a = -56 + 14a + -14a Combine like terms: 14a + -14a = 0 42 + -14a = -56 + 0 42 + -14a = -56 Add '-42' to each side of the equation. 42 + -42 + -14a = -56 + -42 Combine like terms: 42 + -42 = 0 0 + -14a = -56 + -42 -14a = -56 + -42 Combine like terms: -56 + -42 = -98 -14a = -98 Divide each side by '-14'. a = 7 Simplifying a = 7
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