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Simplifying 2 + -1(4a + 7) = 3 + 2(a + 2) Reorder the terms: 2 + -1(7 + 4a) = 3 + 2(a + 2) 2 + (7 * -1 + 4a * -1) = 3 + 2(a + 2) 2 + (-7 + -4a) = 3 + 2(a + 2) Combine like terms: 2 + -7 = -5 -5 + -4a = 3 + 2(a + 2) Reorder the terms: -5 + -4a = 3 + 2(2 + a) -5 + -4a = 3 + (2 * 2 + a * 2) -5 + -4a = 3 + (4 + 2a) Combine like terms: 3 + 4 = 7 -5 + -4a = 7 + 2a Solving -5 + -4a = 7 + 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. -5 + -4a + -2a = 7 + 2a + -2a Combine like terms: -4a + -2a = -6a -5 + -6a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + -6a = 7 + 0 -5 + -6a = 7 Add '5' to each side of the equation. -5 + 5 + -6a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6a = 7 + 5 -6a = 7 + 5 Combine like terms: 7 + 5 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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