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Simplifying 2(7a + 8) + 8(3a + -5) = -1a + 6(a + 7) Reorder the terms: 2(8 + 7a) + 8(3a + -5) = -1a + 6(a + 7) (8 * 2 + 7a * 2) + 8(3a + -5) = -1a + 6(a + 7) (16 + 14a) + 8(3a + -5) = -1a + 6(a + 7) Reorder the terms: 16 + 14a + 8(-5 + 3a) = -1a + 6(a + 7) 16 + 14a + (-5 * 8 + 3a * 8) = -1a + 6(a + 7) 16 + 14a + (-40 + 24a) = -1a + 6(a + 7) Reorder the terms: 16 + -40 + 14a + 24a = -1a + 6(a + 7) Combine like terms: 16 + -40 = -24 -24 + 14a + 24a = -1a + 6(a + 7) Combine like terms: 14a + 24a = 38a -24 + 38a = -1a + 6(a + 7) Reorder the terms: -24 + 38a = -1a + 6(7 + a) -24 + 38a = -1a + (7 * 6 + a * 6) -24 + 38a = -1a + (42 + 6a) Reorder the terms: -24 + 38a = 42 + -1a + 6a Combine like terms: -1a + 6a = 5a -24 + 38a = 42 + 5a Solving -24 + 38a = 42 + 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. -24 + 38a + -5a = 42 + 5a + -5a Combine like terms: 38a + -5a = 33a -24 + 33a = 42 + 5a + -5a Combine like terms: 5a + -5a = 0 -24 + 33a = 42 + 0 -24 + 33a = 42 Add '24' to each side of the equation. -24 + 24 + 33a = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 33a = 42 + 24 33a = 42 + 24 Combine like terms: 42 + 24 = 66 33a = 66 Divide each side by '33'. a = 2 Simplifying a = 2
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