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Simplifying 7(5a + -4) + -1 = 14 + -18a Reorder the terms: 7(-4 + 5a) + -1 = 14 + -18a (-4 * 7 + 5a * 7) + -1 = 14 + -18a (-28 + 35a) + -1 = 14 + -18a Reorder the terms: -28 + -1 + 35a = 14 + -18a Combine like terms: -28 + -1 = -29 -29 + 35a = 14 + -18a Solving -29 + 35a = 14 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -29 + 35a + 18a = 14 + -18a + 18a Combine like terms: 35a + 18a = 53a -29 + 53a = 14 + -18a + 18a Combine like terms: -18a + 18a = 0 -29 + 53a = 14 + 0 -29 + 53a = 14 Add '29' to each side of the equation. -29 + 29 + 53a = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 53a = 14 + 29 53a = 14 + 29 Combine like terms: 14 + 29 = 43 53a = 43 Divide each side by '53'. a = 0.8113207547 Simplifying a = 0.8113207547
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