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Simplifying 7[2a + -8] = 4[3a + -7] Reorder the terms: 7[-8 + 2a] = 4[3a + -7] [-8 * 7 + 2a * 7] = 4[3a + -7] [-56 + 14a] = 4[3a + -7] Reorder the terms: -56 + 14a = 4[-7 + 3a] -56 + 14a = [-7 * 4 + 3a * 4] -56 + 14a = [-28 + 12a] Solving -56 + 14a = -28 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -56 + 14a + -12a = -28 + 12a + -12a Combine like terms: 14a + -12a = 2a -56 + 2a = -28 + 12a + -12a Combine like terms: 12a + -12a = 0 -56 + 2a = -28 + 0 -56 + 2a = -28 Add '56' to each side of the equation. -56 + 56 + 2a = -28 + 56 Combine like terms: -56 + 56 = 0 0 + 2a = -28 + 56 2a = -28 + 56 Combine like terms: -28 + 56 = 28 2a = 28 Divide each side by '2'. a = 14 Simplifying a = 14
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