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Simplifying 8(3a + -5) = 4(7 + a) Reorder the terms: 8(-5 + 3a) = 4(7 + a) (-5 * 8 + 3a * 8) = 4(7 + a) (-40 + 24a) = 4(7 + a) -40 + 24a = (7 * 4 + a * 4) -40 + 24a = (28 + 4a) Solving -40 + 24a = 28 + 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 + 24a + -4a = 28 + 4a + -4a Combine like terms: 24a + -4a = 20a -40 + 20a = 28 + 4a + -4a Combine like terms: 4a + -4a = 0 -40 + 20a = 28 + 0 -40 + 20a = 28 Add '40' to each side of the equation. -40 + 40 + 20a = 28 + 40 Combine like terms: -40 + 40 = 0 0 + 20a = 28 + 40 20a = 28 + 40 Combine like terms: 28 + 40 = 68 20a = 68 Divide each side by '20'. a = 3.4 Simplifying a = 3.4
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