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Simplifying -35 + -7a = 8(5a + 4) Reorder the terms: -35 + -7a = 8(4 + 5a) -35 + -7a = (4 * 8 + 5a * 8) -35 + -7a = (32 + 40a) Solving -35 + -7a = 32 + 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 + -7a + -40a = 32 + 40a + -40a Combine like terms: -7a + -40a = -47a -35 + -47a = 32 + 40a + -40a Combine like terms: 40a + -40a = 0 -35 + -47a = 32 + 0 -35 + -47a = 32 Add '35' to each side of the equation. -35 + 35 + -47a = 32 + 35 Combine like terms: -35 + 35 = 0 0 + -47a = 32 + 35 -47a = 32 + 35 Combine like terms: 32 + 35 = 67 -47a = 67 Divide each side by '-47'. a = -1.425531915 Simplifying a = -1.425531915
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