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Simplifying (8a + -9b + c + -4d) * 7 = 0 Reorder the terms for easier multiplication: 7(8a + -9b + c + -4d) = 0 (8a * 7 + -9b * 7 + c * 7 + -4d * 7) = 0 (56a + -63b + 7c + -28d) = 0 Solving 56a + -63b + 7c + -28d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '63b' to each side of the equation. 56a + -63b + 7c + 63b + -28d = 0 + 63b Reorder the terms: 56a + -63b + 63b + 7c + -28d = 0 + 63b Combine like terms: -63b + 63b = 0 56a + 0 + 7c + -28d = 0 + 63b 56a + 7c + -28d = 0 + 63b Remove the zero: 56a + 7c + -28d = 63b Add '-7c' to each side of the equation. 56a + 7c + -7c + -28d = 63b + -7c Combine like terms: 7c + -7c = 0 56a + 0 + -28d = 63b + -7c 56a + -28d = 63b + -7c Add '28d' to each side of the equation. 56a + -28d + 28d = 63b + -7c + 28d Combine like terms: -28d + 28d = 0 56a + 0 = 63b + -7c + 28d 56a = 63b + -7c + 28d Divide each side by '56'. a = 1.125b + -0.125c + 0.5d Simplifying a = 1.125b + -0.125c + 0.5d
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