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Simplifying 5q + 4(3a + -8) = 4 + 13a Reorder the terms: 5q + 4(-8 + 3a) = 4 + 13a 5q + (-8 * 4 + 3a * 4) = 4 + 13a 5q + (-32 + 12a) = 4 + 13a Reorder the terms: -32 + 12a + 5q = 4 + 13a Solving -32 + 12a + 5q = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -32 + 12a + -13a + 5q = 4 + 13a + -13a Combine like terms: 12a + -13a = -1a -32 + -1a + 5q = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -32 + -1a + 5q = 4 + 0 -32 + -1a + 5q = 4 Add '32' to each side of the equation. -32 + -1a + 32 + 5q = 4 + 32 Reorder the terms: -32 + 32 + -1a + 5q = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -1a + 5q = 4 + 32 -1a + 5q = 4 + 32 Combine like terms: 4 + 32 = 36 -1a + 5q = 36 Add '-5q' to each side of the equation. -1a + 5q + -5q = 36 + -5q Combine like terms: 5q + -5q = 0 -1a + 0 = 36 + -5q -1a = 36 + -5q Divide each side by '-1'. a = -36 + 5q Simplifying a = -36 + 5q
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