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Simplifying 7(a + -4) + -1 = 14 + -8a Reorder the terms: 7(-4 + a) + -1 = 14 + -8a (-4 * 7 + a * 7) + -1 = 14 + -8a (-28 + 7a) + -1 = 14 + -8a Reorder the terms: -28 + -1 + 7a = 14 + -8a Combine like terms: -28 + -1 = -29 -29 + 7a = 14 + -8a Solving -29 + 7a = 14 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -29 + 7a + 8a = 14 + -8a + 8a Combine like terms: 7a + 8a = 15a -29 + 15a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -29 + 15a = 14 + 0 -29 + 15a = 14 Add '29' to each side of the equation. -29 + 29 + 15a = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 15a = 14 + 29 15a = 14 + 29 Combine like terms: 14 + 29 = 43 15a = 43 Divide each side by '15'. a = 2.866666667 Simplifying a = 2.866666667
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