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Simplifying 6(6a + -7) = 7 + -1a Reorder the terms: 6(-7 + 6a) = 7 + -1a (-7 * 6 + 6a * 6) = 7 + -1a (-42 + 36a) = 7 + -1a Solving -42 + 36a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -42 + 36a + a = 7 + -1a + a Combine like terms: 36a + a = 37a -42 + 37a = 7 + -1a + a Combine like terms: -1a + a = 0 -42 + 37a = 7 + 0 -42 + 37a = 7 Add '42' to each side of the equation. -42 + 42 + 37a = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 37a = 7 + 42 37a = 7 + 42 Combine like terms: 7 + 42 = 49 37a = 49 Divide each side by '37'. a = 1.324324324 Simplifying a = 1.324324324
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