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Simplifying -16(-77a + -79) = 32(6a + 7) Reorder the terms: -16(-79 + -77a) = 32(6a + 7) (-79 * -16 + -77a * -16) = 32(6a + 7) (1264 + 1232a) = 32(6a + 7) Reorder the terms: 1264 + 1232a = 32(7 + 6a) 1264 + 1232a = (7 * 32 + 6a * 32) 1264 + 1232a = (224 + 192a) Solving 1264 + 1232a = 224 + 192a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-192a' to each side of the equation. 1264 + 1232a + -192a = 224 + 192a + -192a Combine like terms: 1232a + -192a = 1040a 1264 + 1040a = 224 + 192a + -192a Combine like terms: 192a + -192a = 0 1264 + 1040a = 224 + 0 1264 + 1040a = 224 Add '-1264' to each side of the equation. 1264 + -1264 + 1040a = 224 + -1264 Combine like terms: 1264 + -1264 = 0 0 + 1040a = 224 + -1264 1040a = 224 + -1264 Combine like terms: 224 + -1264 = -1040 1040a = -1040 Divide each side by '1040'. a = -1 Simplifying a = -1
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