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Simplifying 5d + -2(4a + 5) = 7a Reorder the terms: 5d + -2(5 + 4a) = 7a 5d + (5 * -2 + 4a * -2) = 7a 5d + (-10 + -8a) = 7a Reorder the terms: -10 + -8a + 5d = 7a Solving -10 + -8a + 5d = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -10 + -8a + -7a + 5d = 7a + -7a Combine like terms: -8a + -7a = -15a -10 + -15a + 5d = 7a + -7a Combine like terms: 7a + -7a = 0 -10 + -15a + 5d = 0 Add '10' to each side of the equation. -10 + -15a + 10 + 5d = 0 + 10 Reorder the terms: -10 + 10 + -15a + 5d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -15a + 5d = 0 + 10 -15a + 5d = 0 + 10 Combine like terms: 0 + 10 = 10 -15a + 5d = 10 Add '-5d' to each side of the equation. -15a + 5d + -5d = 10 + -5d Combine like terms: 5d + -5d = 0 -15a + 0 = 10 + -5d -15a = 10 + -5d Divide each side by '-15'. a = -0.6666666667 + 0.3333333333d Simplifying a = -0.6666666667 + 0.3333333333d
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