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Simplifying 2 + 7[4 + 4(a + -1)] = 5(6a + -10) Reorder the terms: 2 + 7[4 + 4(-1 + a)] = 5(6a + -10) 2 + 7[4 + (-1 * 4 + a * 4)] = 5(6a + -10) 2 + 7[4 + (-4 + 4a)] = 5(6a + -10) Combine like terms: 4 + -4 = 0 2 + 7[0 + 4a] = 5(6a + -10) 2 + 7[4a] = 5(6a + -10) Remove brackets around [4a] 2 + 7 * 4a = 5(6a + -10) Multiply 7 * 4 2 + 28a = 5(6a + -10) Reorder the terms: 2 + 28a = 5(-10 + 6a) 2 + 28a = (-10 * 5 + 6a * 5) 2 + 28a = (-50 + 30a) Solving 2 + 28a = -50 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 2 + 28a + -30a = -50 + 30a + -30a Combine like terms: 28a + -30a = -2a 2 + -2a = -50 + 30a + -30a Combine like terms: 30a + -30a = 0 2 + -2a = -50 + 0 2 + -2a = -50 Add '-2' to each side of the equation. 2 + -2 + -2a = -50 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = -50 + -2 -2a = -50 + -2 Combine like terms: -50 + -2 = -52 -2a = -52 Divide each side by '-2'. a = 26 Simplifying a = 26
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