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Simplifying 5d + 3 + -3a = -7 Reorder the terms: 3 + -3a + 5d = -7 Solving 3 + -3a + 5d = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3a + -3 + 5d = -7 + -3 Reorder the terms: 3 + -3 + -3a + 5d = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -3a + 5d = -7 + -3 -3a + 5d = -7 + -3 Combine like terms: -7 + -3 = -10 -3a + 5d = -10 Add '-5d' to each side of the equation. -3a + 5d + -5d = -10 + -5d Combine like terms: 5d + -5d = 0 -3a + 0 = -10 + -5d -3a = -10 + -5d Divide each side by '-3'. a = 3.333333333 + 1.666666667d Simplifying a = 3.333333333 + 1.666666667d
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