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Simplifying 47 = 7(-5a + -5) + -4(-1 + a) Reorder the terms: 47 = 7(-5 + -5a) + -4(-1 + a) 47 = (-5 * 7 + -5a * 7) + -4(-1 + a) 47 = (-35 + -35a) + -4(-1 + a) 47 = -35 + -35a + (-1 * -4 + a * -4) 47 = -35 + -35a + (4 + -4a) Reorder the terms: 47 = -35 + 4 + -35a + -4a Combine like terms: -35 + 4 = -31 47 = -31 + -35a + -4a Combine like terms: -35a + -4a = -39a 47 = -31 + -39a Solving 47 = -31 + -39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39a' to each side of the equation. 47 + 39a = -31 + -39a + 39a Combine like terms: -39a + 39a = 0 47 + 39a = -31 + 0 47 + 39a = -31 Add '-47' to each side of the equation. 47 + -47 + 39a = -31 + -47 Combine like terms: 47 + -47 = 0 0 + 39a = -31 + -47 39a = -31 + -47 Combine like terms: -31 + -47 = -78 39a = -78 Divide each side by '39'. a = -2 Simplifying a = -2
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