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Simplifying 10 + -4[6(2a + 5) + -1(20 + 10a)] = 2a Reorder the terms: 10 + -4[6(5 + 2a) + -1(20 + 10a)] = 2a 10 + -4[(5 * 6 + 2a * 6) + -1(20 + 10a)] = 2a 10 + -4[(30 + 12a) + -1(20 + 10a)] = 2a 10 + -4[30 + 12a + (20 * -1 + 10a * -1)] = 2a 10 + -4[30 + 12a + (-20 + -10a)] = 2a Reorder the terms: 10 + -4[30 + -20 + 12a + -10a] = 2a Combine like terms: 30 + -20 = 10 10 + -4[10 + 12a + -10a] = 2a Combine like terms: 12a + -10a = 2a 10 + -4[10 + 2a] = 2a 10 + [10 * -4 + 2a * -4] = 2a 10 + [-40 + -8a] = 2a Combine like terms: 10 + -40 = -30 -30 + -8a = 2a Solving -30 + -8a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -30 + -8a + -2a = 2a + -2a Combine like terms: -8a + -2a = -10a -30 + -10a = 2a + -2a Combine like terms: 2a + -2a = 0 -30 + -10a = 0 Add '30' to each side of the equation. -30 + 30 + -10a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -10a = 0 + 30 -10a = 0 + 30 Combine like terms: 0 + 30 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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