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Simplifying a + 6(3a + -7) = -8(-6a + -2) Reorder the terms: a + 6(-7 + 3a) = -8(-6a + -2) a + (-7 * 6 + 3a * 6) = -8(-6a + -2) a + (-42 + 18a) = -8(-6a + -2) Reorder the terms: -42 + a + 18a = -8(-6a + -2) Combine like terms: a + 18a = 19a -42 + 19a = -8(-6a + -2) Reorder the terms: -42 + 19a = -8(-2 + -6a) -42 + 19a = (-2 * -8 + -6a * -8) -42 + 19a = (16 + 48a) Solving -42 + 19a = 16 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -42 + 19a + -48a = 16 + 48a + -48a Combine like terms: 19a + -48a = -29a -42 + -29a = 16 + 48a + -48a Combine like terms: 48a + -48a = 0 -42 + -29a = 16 + 0 -42 + -29a = 16 Add '42' to each side of the equation. -42 + 42 + -29a = 16 + 42 Combine like terms: -42 + 42 = 0 0 + -29a = 16 + 42 -29a = 16 + 42 Combine like terms: 16 + 42 = 58 -29a = 58 Divide each side by '-29'. a = -2 Simplifying a = -2
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