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Simplifying -4 + -2(8 + 3a) = -8 + 7(a + 2) -4 + (8 * -2 + 3a * -2) = -8 + 7(a + 2) -4 + (-16 + -6a) = -8 + 7(a + 2) Combine like terms: -4 + -16 = -20 -20 + -6a = -8 + 7(a + 2) Reorder the terms: -20 + -6a = -8 + 7(2 + a) -20 + -6a = -8 + (2 * 7 + a * 7) -20 + -6a = -8 + (14 + 7a) Combine like terms: -8 + 14 = 6 -20 + -6a = 6 + 7a Solving -20 + -6a = 6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -20 + -6a + -7a = 6 + 7a + -7a Combine like terms: -6a + -7a = -13a -20 + -13a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 -20 + -13a = 6 + 0 -20 + -13a = 6 Add '20' to each side of the equation. -20 + 20 + -13a = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -13a = 6 + 20 -13a = 6 + 20 Combine like terms: 6 + 20 = 26 -13a = 26 Divide each side by '-13'. a = -2 Simplifying a = -2
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