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Simplifying -1(3a + 7) = 2(3a + -8) Reorder the terms: -1(7 + 3a) = 2(3a + -8) (7 * -1 + 3a * -1) = 2(3a + -8) (-7 + -3a) = 2(3a + -8) Reorder the terms: -7 + -3a = 2(-8 + 3a) -7 + -3a = (-8 * 2 + 3a * 2) -7 + -3a = (-16 + 6a) Solving -7 + -3a = -16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + -3a + -6a = -16 + 6a + -6a Combine like terms: -3a + -6a = -9a -7 + -9a = -16 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -9a = -16 + 0 -7 + -9a = -16 Add '7' to each side of the equation. -7 + 7 + -9a = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -9a = -16 + 7 -9a = -16 + 7 Combine like terms: -16 + 7 = -9 -9a = -9 Divide each side by '-9'. a = 1 Simplifying a = 1
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