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Simplifying 3(d + -8) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: 3(-8 + d) + 7 = 5(a + 2) + -3a + -19 (-8 * 3 + d * 3) + 7 = 5(a + 2) + -3a + -19 (-24 + 3d) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: -24 + 7 + 3d = 5(a + 2) + -3a + -19 Combine like terms: -24 + 7 = -17 -17 + 3d = 5(a + 2) + -3a + -19 Reorder the terms: -17 + 3d = 5(2 + a) + -3a + -19 -17 + 3d = (2 * 5 + a * 5) + -3a + -19 -17 + 3d = (10 + 5a) + -3a + -19 Reorder the terms: -17 + 3d = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -17 + 3d = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -17 + 3d = -9 + 2a Solving -17 + 3d = -9 + 2a Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3d = -9 + 17 + 2a Combine like terms: -17 + 17 = 0 0 + 3d = -9 + 17 + 2a 3d = -9 + 17 + 2a Combine like terms: -9 + 17 = 8 3d = 8 + 2a Divide each side by '3'. d = 2.666666667 + 0.6666666667a Simplifying d = 2.666666667 + 0.6666666667a
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