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Simplifying -2(a + -7) + -2 + -5a = 3a + -4(1 + 2a) Reorder the terms: -2(-7 + a) + -2 + -5a = 3a + -4(1 + 2a) (-7 * -2 + a * -2) + -2 + -5a = 3a + -4(1 + 2a) (14 + -2a) + -2 + -5a = 3a + -4(1 + 2a) Reorder the terms: 14 + -2 + -2a + -5a = 3a + -4(1 + 2a) Combine like terms: 14 + -2 = 12 12 + -2a + -5a = 3a + -4(1 + 2a) Combine like terms: -2a + -5a = -7a 12 + -7a = 3a + -4(1 + 2a) 12 + -7a = 3a + (1 * -4 + 2a * -4) 12 + -7a = 3a + (-4 + -8a) Reorder the terms: 12 + -7a = -4 + 3a + -8a Combine like terms: 3a + -8a = -5a 12 + -7a = -4 + -5a Solving 12 + -7a = -4 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 12 + -7a + 5a = -4 + -5a + 5a Combine like terms: -7a + 5a = -2a 12 + -2a = -4 + -5a + 5a Combine like terms: -5a + 5a = 0 12 + -2a = -4 + 0 12 + -2a = -4 Add '-12' to each side of the equation. 12 + -12 + -2a = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -4 + -12 -2a = -4 + -12 Combine like terms: -4 + -12 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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