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Simplifying 7(5a + -4) + -1 = -2n + 4(-3n) Reorder the terms: 7(-4 + 5a) + -1 = -2n + 4(-3n) (-4 * 7 + 5a * 7) + -1 = -2n + 4(-3n) (-28 + 35a) + -1 = -2n + 4(-3n) Reorder the terms: -28 + -1 + 35a = -2n + 4(-3n) Combine like terms: -28 + -1 = -29 -29 + 35a = -2n + 4(-3n) Remove parenthesis around (-3n) -29 + 35a = -2n + 4 * -3n Multiply 4 * -3 -29 + 35a = -2n + -12n Combine like terms: -2n + -12n = -14n -29 + 35a = -14n Solving -29 + 35a = -14n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 35a = 29 + -14n Combine like terms: -29 + 29 = 0 0 + 35a = 29 + -14n 35a = 29 + -14n Divide each side by '35'. a = 0.8285714286 + -0.4n Simplifying a = 0.8285714286 + -0.4n
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