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Simplifying 8(4a + -5) + 7 = 127 Reorder the terms: 8(-5 + 4a) + 7 = 127 (-5 * 8 + 4a * 8) + 7 = 127 (-40 + 32a) + 7 = 127 Reorder the terms: -40 + 7 + 32a = 127 Combine like terms: -40 + 7 = -33 -33 + 32a = 127 Solving -33 + 32a = 127 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 32a = 127 + 33 Combine like terms: -33 + 33 = 0 0 + 32a = 127 + 33 32a = 127 + 33 Combine like terms: 127 + 33 = 160 32a = 160 Divide each side by '32'. a = 5 Simplifying a = 5
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