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Simplifying -1(8a + 6) = 7(-1a + -3) + 2a Reorder the terms: -1(6 + 8a) = 7(-1a + -3) + 2a (6 * -1 + 8a * -1) = 7(-1a + -3) + 2a (-6 + -8a) = 7(-1a + -3) + 2a Reorder the terms: -6 + -8a = 7(-3 + -1a) + 2a -6 + -8a = (-3 * 7 + -1a * 7) + 2a -6 + -8a = (-21 + -7a) + 2a Combine like terms: -7a + 2a = -5a -6 + -8a = -21 + -5a Solving -6 + -8a = -21 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -6 + -8a + 5a = -21 + -5a + 5a Combine like terms: -8a + 5a = -3a -6 + -3a = -21 + -5a + 5a Combine like terms: -5a + 5a = 0 -6 + -3a = -21 + 0 -6 + -3a = -21 Add '6' to each side of the equation. -6 + 6 + -3a = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -3a = -21 + 6 -3a = -21 + 6 Combine like terms: -21 + 6 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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