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Simplifying 5a + 4(3a + -8) = 4(y + 13a) Reorder the terms: 5a + 4(-8 + 3a) = 4(y + 13a) 5a + (-8 * 4 + 3a * 4) = 4(y + 13a) 5a + (-32 + 12a) = 4(y + 13a) Reorder the terms: -32 + 5a + 12a = 4(y + 13a) Combine like terms: 5a + 12a = 17a -32 + 17a = 4(y + 13a) Reorder the terms: -32 + 17a = 4(13a + y) -32 + 17a = (13a * 4 + y * 4) -32 + 17a = (52a + 4y) Solving -32 + 17a = 52a + 4y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. -32 + 17a + -52a = 52a + -52a + 4y Combine like terms: 17a + -52a = -35a -32 + -35a = 52a + -52a + 4y Combine like terms: 52a + -52a = 0 -32 + -35a = 0 + 4y -32 + -35a = 4y Add '32' to each side of the equation. -32 + 32 + -35a = 32 + 4y Combine like terms: -32 + 32 = 0 0 + -35a = 32 + 4y -35a = 32 + 4y Divide each side by '-35'. a = -0.9142857143 + -0.1142857143y Simplifying a = -0.9142857143 + -0.1142857143y
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