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Simplifying -5(a + 4) + 3a = 14a + 2 Reorder the terms: -5(4 + a) + 3a = 14a + 2 (4 * -5 + a * -5) + 3a = 14a + 2 (-20 + -5a) + 3a = 14a + 2 Combine like terms: -5a + 3a = -2a -20 + -2a = 14a + 2 Reorder the terms: -20 + -2a = 2 + 14a Solving -20 + -2a = 2 + 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. -20 + -2a + -14a = 2 + 14a + -14a Combine like terms: -2a + -14a = -16a -20 + -16a = 2 + 14a + -14a Combine like terms: 14a + -14a = 0 -20 + -16a = 2 + 0 -20 + -16a = 2 Add '20' to each side of the equation. -20 + 20 + -16a = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -16a = 2 + 20 -16a = 2 + 20 Combine like terms: 2 + 20 = 22 -16a = 22 Divide each side by '-16'. a = -1.375 Simplifying a = -1.375
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