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Simplifying 35 + 4a = -5 + 8(5a + -4) Reorder the terms: 35 + 4a = -5 + 8(-4 + 5a) 35 + 4a = -5 + (-4 * 8 + 5a * 8) 35 + 4a = -5 + (-32 + 40a) Combine like terms: -5 + -32 = -37 35 + 4a = -37 + 40a Solving 35 + 4a = -37 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 35 + 4a + -40a = -37 + 40a + -40a Combine like terms: 4a + -40a = -36a 35 + -36a = -37 + 40a + -40a Combine like terms: 40a + -40a = 0 35 + -36a = -37 + 0 35 + -36a = -37 Add '-35' to each side of the equation. 35 + -35 + -36a = -37 + -35 Combine like terms: 35 + -35 = 0 0 + -36a = -37 + -35 -36a = -37 + -35 Combine like terms: -37 + -35 = -72 -36a = -72 Divide each side by '-36'. a = 2 Simplifying a = 2
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