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Simplifying 2(34a + -8d) + -4 + 9d = 4(35d + 7d) (34a * 2 + -8d * 2) + -4 + 9d = 4(35d + 7d) (68a + -16d) + -4 + 9d = 4(35d + 7d) Reorder the terms: -4 + 68a + -16d + 9d = 4(35d + 7d) Combine like terms: -16d + 9d = -7d -4 + 68a + -7d = 4(35d + 7d) Combine like terms: 35d + 7d = 42d -4 + 68a + -7d = 4(42d) Remove parenthesis around (42d) -4 + 68a + -7d = 4 * 42d Multiply 4 * 42 -4 + 68a + -7d = 168d Solving -4 + 68a + -7d = 168d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 68a + 4 + -7d = 4 + 168d Reorder the terms: -4 + 4 + 68a + -7d = 4 + 168d Combine like terms: -4 + 4 = 0 0 + 68a + -7d = 4 + 168d 68a + -7d = 4 + 168d Add '7d' to each side of the equation. 68a + -7d + 7d = 4 + 168d + 7d Combine like terms: -7d + 7d = 0 68a + 0 = 4 + 168d + 7d 68a = 4 + 168d + 7d Combine like terms: 168d + 7d = 175d 68a = 4 + 175d Divide each side by '68'. a = 0.05882352941 + 2.573529412d Simplifying a = 0.05882352941 + 2.573529412d
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