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Simplifying 4(a + -8) + 22 = 2(a + -4) Reorder the terms: 4(-8 + a) + 22 = 2(a + -4) (-8 * 4 + a * 4) + 22 = 2(a + -4) (-32 + 4a) + 22 = 2(a + -4) Reorder the terms: -32 + 22 + 4a = 2(a + -4) Combine like terms: -32 + 22 = -10 -10 + 4a = 2(a + -4) Reorder the terms: -10 + 4a = 2(-4 + a) -10 + 4a = (-4 * 2 + a * 2) -10 + 4a = (-8 + 2a) Solving -10 + 4a = -8 + 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. -10 + 4a + -2a = -8 + 2a + -2a Combine like terms: 4a + -2a = 2a -10 + 2a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 2a = -8 + 0 -10 + 2a = -8 Add '10' to each side of the equation. -10 + 10 + 2a = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = -8 + 10 2a = -8 + 10 Combine like terms: -8 + 10 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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