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Simplifying -7(1 + -1a) = 5 + -4(3 + -2a) (1 * -7 + -1a * -7) = 5 + -4(3 + -2a) (-7 + 7a) = 5 + -4(3 + -2a) -7 + 7a = 5 + (3 * -4 + -2a * -4) -7 + 7a = 5 + (-12 + 8a) Combine like terms: 5 + -12 = -7 -7 + 7a = -7 + 8a Add '7' to each side of the equation. -7 + 7 + 7a = -7 + 7 + 8a Combine like terms: -7 + 7 = 0 0 + 7a = -7 + 7 + 8a 7a = -7 + 7 + 8a Combine like terms: -7 + 7 = 0 7a = 0 + 8a 7a = 8a Solving 7a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7a + -8a = 8a + -8a Combine like terms: 7a + -8a = -1a -1a = 8a + -8a Combine like terms: 8a + -8a = 0 -1a = 0 Divide each side by '-1'. a = 0 Simplifying a = 0
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