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Simplifying -5n + -4(-7a + 6) = -16 + -7a Reorder the terms: -5n + -4(6 + -7a) = -16 + -7a -5n + (6 * -4 + -7a * -4) = -16 + -7a -5n + (-24 + 28a) = -16 + -7a Reorder the terms: -24 + 28a + -5n = -16 + -7a Solving -24 + 28a + -5n = -16 + -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. -24 + 28a + 7a + -5n = -16 + -7a + 7a Combine like terms: 28a + 7a = 35a -24 + 35a + -5n = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 -24 + 35a + -5n = -16 + 0 -24 + 35a + -5n = -16 Add '24' to each side of the equation. -24 + 35a + 24 + -5n = -16 + 24 Reorder the terms: -24 + 24 + 35a + -5n = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 35a + -5n = -16 + 24 35a + -5n = -16 + 24 Combine like terms: -16 + 24 = 8 35a + -5n = 8 Add '5n' to each side of the equation. 35a + -5n + 5n = 8 + 5n Combine like terms: -5n + 5n = 0 35a + 0 = 8 + 5n 35a = 8 + 5n Divide each side by '35'. a = 0.2285714286 + 0.1428571429n Simplifying a = 0.2285714286 + 0.1428571429n
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