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Simplifying 4(2a + -1) + -7d = 9 + -5 Reorder the terms: 4(-1 + 2a) + -7d = 9 + -5 (-1 * 4 + 2a * 4) + -7d = 9 + -5 (-4 + 8a) + -7d = 9 + -5 Combine like terms: 9 + -5 = 4 -4 + 8a + -7d = 4 Solving -4 + 8a + -7d = 4 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 + 8a + 4 + -7d = 4 + 4 Reorder the terms: -4 + 4 + 8a + -7d = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 8a + -7d = 4 + 4 8a + -7d = 4 + 4 Combine like terms: 4 + 4 = 8 8a + -7d = 8 Add '7d' to each side of the equation. 8a + -7d + 7d = 8 + 7d Combine like terms: -7d + 7d = 0 8a + 0 = 8 + 7d 8a = 8 + 7d Divide each side by '8'. a = 1 + 0.875d Simplifying a = 1 + 0.875d
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