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Simplifying 4(3 + a) = 14(2 + a) (3 * 4 + a * 4) = 14(2 + a) (12 + 4a) = 14(2 + a) 12 + 4a = (2 * 14 + a * 14) 12 + 4a = (28 + 14a) Solving 12 + 4a = 28 + 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. 12 + 4a + -14a = 28 + 14a + -14a Combine like terms: 4a + -14a = -10a 12 + -10a = 28 + 14a + -14a Combine like terms: 14a + -14a = 0 12 + -10a = 28 + 0 12 + -10a = 28 Add '-12' to each side of the equation. 12 + -12 + -10a = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -10a = 28 + -12 -10a = 28 + -12 Combine like terms: 28 + -12 = 16 -10a = 16 Divide each side by '-10'. a = -1.6 Simplifying a = -1.6
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