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Simplifying 4(8p + 4a + -7r) = 0 Reorder the terms: 4(4a + 8p + -7r) = 0 (4a * 4 + 8p * 4 + -7r * 4) = 0 (16a + 32p + -28r) = 0 Solving 16a + 32p + -28r = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32p' to each side of the equation. 16a + 32p + -32p + -28r = 0 + -32p Combine like terms: 32p + -32p = 0 16a + 0 + -28r = 0 + -32p 16a + -28r = 0 + -32p Remove the zero: 16a + -28r = -32p Add '28r' to each side of the equation. 16a + -28r + 28r = -32p + 28r Combine like terms: -28r + 28r = 0 16a + 0 = -32p + 28r 16a = -32p + 28r Divide each side by '16'. a = -2p + 1.75r Simplifying a = -2p + 1.75r
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