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Simplifying -1(1 + 7a) + -6(-7 + -1a) = -4(1 + -6a) (1 * -1 + 7a * -1) + -6(-7 + -1a) = -4(1 + -6a) (-1 + -7a) + -6(-7 + -1a) = -4(1 + -6a) -1 + -7a + (-7 * -6 + -1a * -6) = -4(1 + -6a) -1 + -7a + (42 + 6a) = -4(1 + -6a) Reorder the terms: -1 + 42 + -7a + 6a = -4(1 + -6a) Combine like terms: -1 + 42 = 41 41 + -7a + 6a = -4(1 + -6a) Combine like terms: -7a + 6a = -1a 41 + -1a = -4(1 + -6a) 41 + -1a = (1 * -4 + -6a * -4) 41 + -1a = (-4 + 24a) Solving 41 + -1a = -4 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 41 + -1a + -24a = -4 + 24a + -24a Combine like terms: -1a + -24a = -25a 41 + -25a = -4 + 24a + -24a Combine like terms: 24a + -24a = 0 41 + -25a = -4 + 0 41 + -25a = -4 Add '-41' to each side of the equation. 41 + -41 + -25a = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -25a = -4 + -41 -25a = -4 + -41 Combine like terms: -4 + -41 = -45 -25a = -45 Divide each side by '-25'. a = 1.8 Simplifying a = 1.8
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