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Simplifying 6 + -4(a + 7) = -1(a + 4) Reorder the terms: 6 + -4(7 + a) = -1(a + 4) 6 + (7 * -4 + a * -4) = -1(a + 4) 6 + (-28 + -4a) = -1(a + 4) Combine like terms: 6 + -28 = -22 -22 + -4a = -1(a + 4) Reorder the terms: -22 + -4a = -1(4 + a) -22 + -4a = (4 * -1 + a * -1) -22 + -4a = (-4 + -1a) Solving -22 + -4a = -4 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -22 + -4a + a = -4 + -1a + a Combine like terms: -4a + a = -3a -22 + -3a = -4 + -1a + a Combine like terms: -1a + a = 0 -22 + -3a = -4 + 0 -22 + -3a = -4 Add '22' to each side of the equation. -22 + 22 + -3a = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -3a = -4 + 22 -3a = -4 + 22 Combine like terms: -4 + 22 = 18 -3a = 18 Divide each side by '-3'. a = -6 Simplifying a = -6
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