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Simplifying -7a + 4 + 2a = 2(a + 20) + -8 Reorder the terms: 4 + -7a + 2a = 2(a + 20) + -8 Combine like terms: -7a + 2a = -5a 4 + -5a = 2(a + 20) + -8 Reorder the terms: 4 + -5a = 2(20 + a) + -8 4 + -5a = (20 * 2 + a * 2) + -8 4 + -5a = (40 + 2a) + -8 Reorder the terms: 4 + -5a = 40 + -8 + 2a Combine like terms: 40 + -8 = 32 4 + -5a = 32 + 2a Solving 4 + -5a = 32 + 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. 4 + -5a + -2a = 32 + 2a + -2a Combine like terms: -5a + -2a = -7a 4 + -7a = 32 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + -7a = 32 + 0 4 + -7a = 32 Add '-4' to each side of the equation. 4 + -4 + -7a = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = 32 + -4 -7a = 32 + -4 Combine like terms: 32 + -4 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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