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Simplifying 48 = -6(5a + -5) + -4(-1 + -7a) Reorder the terms: 48 = -6(-5 + 5a) + -4(-1 + -7a) 48 = (-5 * -6 + 5a * -6) + -4(-1 + -7a) 48 = (30 + -30a) + -4(-1 + -7a) 48 = 30 + -30a + (-1 * -4 + -7a * -4) 48 = 30 + -30a + (4 + 28a) Reorder the terms: 48 = 30 + 4 + -30a + 28a Combine like terms: 30 + 4 = 34 48 = 34 + -30a + 28a Combine like terms: -30a + 28a = -2a 48 = 34 + -2a Solving 48 = 34 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 48 + 2a = 34 + -2a + 2a Combine like terms: -2a + 2a = 0 48 + 2a = 34 + 0 48 + 2a = 34 Add '-48' to each side of the equation. 48 + -48 + 2a = 34 + -48 Combine like terms: 48 + -48 = 0 0 + 2a = 34 + -48 2a = 34 + -48 Combine like terms: 34 + -48 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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