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Simplifying 7a + -4(d + -3) = 23 Reorder the terms: 7a + -4(-3 + d) = 23 7a + (-3 * -4 + d * -4) = 23 7a + (12 + -4d) = 23 Reorder the terms: 12 + 7a + -4d = 23 Solving 12 + 7a + -4d = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7a + -12 + -4d = 23 + -12 Reorder the terms: 12 + -12 + 7a + -4d = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 7a + -4d = 23 + -12 7a + -4d = 23 + -12 Combine like terms: 23 + -12 = 11 7a + -4d = 11 Add '4d' to each side of the equation. 7a + -4d + 4d = 11 + 4d Combine like terms: -4d + 4d = 0 7a + 0 = 11 + 4d 7a = 11 + 4d Divide each side by '7'. a = 1.571428571 + 0.5714285714d Simplifying a = 1.571428571 + 0.5714285714d
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