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Simplifying 7(a + -6) + -4a = -8 + -1(a + 6) Reorder the terms: 7(-6 + a) + -4a = -8 + -1(a + 6) (-6 * 7 + a * 7) + -4a = -8 + -1(a + 6) (-42 + 7a) + -4a = -8 + -1(a + 6) Combine like terms: 7a + -4a = 3a -42 + 3a = -8 + -1(a + 6) Reorder the terms: -42 + 3a = -8 + -1(6 + a) -42 + 3a = -8 + (6 * -1 + a * -1) -42 + 3a = -8 + (-6 + -1a) Combine like terms: -8 + -6 = -14 -42 + 3a = -14 + -1a Solving -42 + 3a = -14 + -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. -42 + 3a + a = -14 + -1a + a Combine like terms: 3a + a = 4a -42 + 4a = -14 + -1a + a Combine like terms: -1a + a = 0 -42 + 4a = -14 + 0 -42 + 4a = -14 Add '42' to each side of the equation. -42 + 42 + 4a = -14 + 42 Combine like terms: -42 + 42 = 0 0 + 4a = -14 + 42 4a = -14 + 42 Combine like terms: -14 + 42 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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