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Simplifying -128 = 8(4 + 5a) -128 = (4 * 8 + 5a * 8) -128 = (32 + 40a) Solving -128 = 32 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -128 + -40a = 32 + 40a + -40a Combine like terms: 40a + -40a = 0 -128 + -40a = 32 + 0 -128 + -40a = 32 Add '128' to each side of the equation. -128 + 128 + -40a = 32 + 128 Combine like terms: -128 + 128 = 0 0 + -40a = 32 + 128 -40a = 32 + 128 Combine like terms: 32 + 128 = 160 -40a = 160 Divide each side by '-40'. a = -4 Simplifying a = -4
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