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Simplifying -191 = -7 + -8(-5 + 4a) -191 = -7 + (-5 * -8 + 4a * -8) -191 = -7 + (40 + -32a) Combine like terms: -7 + 40 = 33 -191 = 33 + -32a Solving -191 = 33 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -191 + 32a = 33 + -32a + 32a Combine like terms: -32a + 32a = 0 -191 + 32a = 33 + 0 -191 + 32a = 33 Add '191' to each side of the equation. -191 + 191 + 32a = 33 + 191 Combine like terms: -191 + 191 = 0 0 + 32a = 33 + 191 32a = 33 + 191 Combine like terms: 33 + 191 = 224 32a = 224 Divide each side by '32'. a = 7 Simplifying a = 7
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