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Simplifying 4(a + -8) + 12 = (a + -7) Reorder the terms: 4(-8 + a) + 12 = (a + -7) (-8 * 4 + a * 4) + 12 = (a + -7) (-32 + 4a) + 12 = (a + -7) Reorder the terms: -32 + 12 + 4a = (a + -7) Combine like terms: -32 + 12 = -20 -20 + 4a = (a + -7) Reorder the terms: -20 + 4a = (-7 + a) Remove parenthesis around (-7 + a) -20 + 4a = -7 + a Solving -20 + 4a = -7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -20 + 4a + -1a = -7 + a + -1a Combine like terms: 4a + -1a = 3a -20 + 3a = -7 + a + -1a Combine like terms: a + -1a = 0 -20 + 3a = -7 + 0 -20 + 3a = -7 Add '20' to each side of the equation. -20 + 20 + 3a = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 3a = -7 + 20 3a = -7 + 20 Combine like terms: -7 + 20 = 13 3a = 13 Divide each side by '3'. a = 4.333333333 Simplifying a = 4.333333333
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