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Simplifying 240 = -7(1 + 6a) + -5 240 = (1 * -7 + 6a * -7) + -5 240 = (-7 + -42a) + -5 Reorder the terms: 240 = -7 + -5 + -42a Combine like terms: -7 + -5 = -12 240 = -12 + -42a Solving 240 = -12 + -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. 240 + 42a = -12 + -42a + 42a Combine like terms: -42a + 42a = 0 240 + 42a = -12 + 0 240 + 42a = -12 Add '-240' to each side of the equation. 240 + -240 + 42a = -12 + -240 Combine like terms: 240 + -240 = 0 0 + 42a = -12 + -240 42a = -12 + -240 Combine like terms: -12 + -240 = -252 42a = -252 Divide each side by '42'. a = -6 Simplifying a = -6
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