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Simplifying 6(a + -8) + 22 = 4(a + -5) Reorder the terms: 6(-8 + a) + 22 = 4(a + -5) (-8 * 6 + a * 6) + 22 = 4(a + -5) (-48 + 6a) + 22 = 4(a + -5) Reorder the terms: -48 + 22 + 6a = 4(a + -5) Combine like terms: -48 + 22 = -26 -26 + 6a = 4(a + -5) Reorder the terms: -26 + 6a = 4(-5 + a) -26 + 6a = (-5 * 4 + a * 4) -26 + 6a = (-20 + 4a) Solving -26 + 6a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -26 + 6a + -4a = -20 + 4a + -4a Combine like terms: 6a + -4a = 2a -26 + 2a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -26 + 2a = -20 + 0 -26 + 2a = -20 Add '26' to each side of the equation. -26 + 26 + 2a = -20 + 26 Combine like terms: -26 + 26 = 0 0 + 2a = -20 + 26 2a = -20 + 26 Combine like terms: -20 + 26 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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