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Simplifying 5(a + -8) = 4(a + -11) Reorder the terms: 5(-8 + a) = 4(a + -11) (-8 * 5 + a * 5) = 4(a + -11) (-40 + 5a) = 4(a + -11) Reorder the terms: -40 + 5a = 4(-11 + a) -40 + 5a = (-11 * 4 + a * 4) -40 + 5a = (-44 + 4a) Solving -40 + 5a = -44 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -40 + 5a + -4a = -44 + 4a + -4a Combine like terms: 5a + -4a = 1a -40 + 1a = -44 + 4a + -4a Combine like terms: 4a + -4a = 0 -40 + 1a = -44 + 0 -40 + 1a = -44 Add '40' to each side of the equation. -40 + 40 + 1a = -44 + 40 Combine like terms: -40 + 40 = 0 0 + 1a = -44 + 40 1a = -44 + 40 Combine like terms: -44 + 40 = -4 1a = -4 Divide each side by '1'. a = -4 Simplifying a = -4
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