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Simplifying 148 = -8 + -6(7a + -5) Reorder the terms: 148 = -8 + -6(-5 + 7a) 148 = -8 + (-5 * -6 + 7a * -6) 148 = -8 + (30 + -42a) Combine like terms: -8 + 30 = 22 148 = 22 + -42a Solving 148 = 22 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 148 + 42a = 22 + -42a + 42a Combine like terms: -42a + 42a = 0 148 + 42a = 22 + 0 148 + 42a = 22 Add '-148' to each side of the equation. 148 + -148 + 42a = 22 + -148 Combine like terms: 148 + -148 = 0 0 + 42a = 22 + -148 42a = 22 + -148 Combine like terms: 22 + -148 = -126 42a = -126 Divide each side by '42'. a = -3 Simplifying a = -3
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