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Simplifying 7a + -6(8a + 7) = 30 + -5a Reorder the terms: 7a + -6(7 + 8a) = 30 + -5a 7a + (7 * -6 + 8a * -6) = 30 + -5a 7a + (-42 + -48a) = 30 + -5a Reorder the terms: -42 + 7a + -48a = 30 + -5a Combine like terms: 7a + -48a = -41a -42 + -41a = 30 + -5a Solving -42 + -41a = 30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -42 + -41a + 5a = 30 + -5a + 5a Combine like terms: -41a + 5a = -36a -42 + -36a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 -42 + -36a = 30 + 0 -42 + -36a = 30 Add '42' to each side of the equation. -42 + 42 + -36a = 30 + 42 Combine like terms: -42 + 42 = 0 0 + -36a = 30 + 42 -36a = 30 + 42 Combine like terms: 30 + 42 = 72 -36a = 72 Divide each side by '-36'. a = -2 Simplifying a = -2
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