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Simplifying -8(5a + 2) = -16 + 7a Reorder the terms: -8(2 + 5a) = -16 + 7a (2 * -8 + 5a * -8) = -16 + 7a (-16 + -40a) = -16 + 7a Add '16' to each side of the equation. -16 + 16 + -40a = -16 + 16 + 7a Combine like terms: -16 + 16 = 0 0 + -40a = -16 + 16 + 7a -40a = -16 + 16 + 7a Combine like terms: -16 + 16 = 0 -40a = 0 + 7a -40a = 7a Solving -40a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -40a + -7a = 7a + -7a Combine like terms: -40a + -7a = -47a -47a = 7a + -7a Combine like terms: 7a + -7a = 0 -47a = 0 Divide each side by '-47'. a = 0 Simplifying a = 0
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