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Simplifying 9 + -8(3a + 5) = -7(4a + 5) Reorder the terms: 9 + -8(5 + 3a) = -7(4a + 5) 9 + (5 * -8 + 3a * -8) = -7(4a + 5) 9 + (-40 + -24a) = -7(4a + 5) Combine like terms: 9 + -40 = -31 -31 + -24a = -7(4a + 5) Reorder the terms: -31 + -24a = -7(5 + 4a) -31 + -24a = (5 * -7 + 4a * -7) -31 + -24a = (-35 + -28a) Solving -31 + -24a = -35 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. -31 + -24a + 28a = -35 + -28a + 28a Combine like terms: -24a + 28a = 4a -31 + 4a = -35 + -28a + 28a Combine like terms: -28a + 28a = 0 -31 + 4a = -35 + 0 -31 + 4a = -35 Add '31' to each side of the equation. -31 + 31 + 4a = -35 + 31 Combine like terms: -31 + 31 = 0 0 + 4a = -35 + 31 4a = -35 + 31 Combine like terms: -35 + 31 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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