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Simplifying 24a + -22 = -49(1 + -6a) Reorder the terms: -22 + 24a = -49(1 + -6a) -22 + 24a = (1 * -49 + -6a * -49) -22 + 24a = (-49 + 294a) Solving -22 + 24a = -49 + 294a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-294a' to each side of the equation. -22 + 24a + -294a = -49 + 294a + -294a Combine like terms: 24a + -294a = -270a -22 + -270a = -49 + 294a + -294a Combine like terms: 294a + -294a = 0 -22 + -270a = -49 + 0 -22 + -270a = -49 Add '22' to each side of the equation. -22 + 22 + -270a = -49 + 22 Combine like terms: -22 + 22 = 0 0 + -270a = -49 + 22 -270a = -49 + 22 Combine like terms: -49 + 22 = -27 -270a = -27 Divide each side by '-270'. a = 0.1 Simplifying a = 0.1
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