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Simplifying 7(5a + -4) + -1 = 14 + -1a Reorder the terms: 7(-4 + 5a) + -1 = 14 + -1a (-4 * 7 + 5a * 7) + -1 = 14 + -1a (-28 + 35a) + -1 = 14 + -1a Reorder the terms: -28 + -1 + 35a = 14 + -1a Combine like terms: -28 + -1 = -29 -29 + 35a = 14 + -1a Solving -29 + 35a = 14 + -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. -29 + 35a + a = 14 + -1a + a Combine like terms: 35a + a = 36a -29 + 36a = 14 + -1a + a Combine like terms: -1a + a = 0 -29 + 36a = 14 + 0 -29 + 36a = 14 Add '29' to each side of the equation. -29 + 29 + 36a = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 36a = 14 + 29 36a = 14 + 29 Combine like terms: 14 + 29 = 43 36a = 43 Divide each side by '36'. a = 1.194444444 Simplifying a = 1.194444444
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