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Simplifying (7a + 12b + -6c + -8)(4) = 0 Reorder the terms: (-8 + 7a + 12b + -6c)(4) = 0 Reorder the terms for easier multiplication: 4(-8 + 7a + 12b + -6c) = 0 (-8 * 4 + 7a * 4 + 12b * 4 + -6c * 4) = 0 (-32 + 28a + 48b + -24c) = 0 Solving -32 + 28a + 48b + -24c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 28a + 48b + 32 + -24c = 0 + 32 Reorder the terms: -32 + 32 + 28a + 48b + -24c = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 28a + 48b + -24c = 0 + 32 28a + 48b + -24c = 0 + 32 Combine like terms: 0 + 32 = 32 28a + 48b + -24c = 32 Add '-48b' to each side of the equation. 28a + 48b + -48b + -24c = 32 + -48b Combine like terms: 48b + -48b = 0 28a + 0 + -24c = 32 + -48b 28a + -24c = 32 + -48b Add '24c' to each side of the equation. 28a + -24c + 24c = 32 + -48b + 24c Combine like terms: -24c + 24c = 0 28a + 0 = 32 + -48b + 24c 28a = 32 + -48b + 24c Divide each side by '28'. a = 1.142857143 + -1.714285714b + 0.8571428571c Simplifying a = 1.142857143 + -1.714285714b + 0.8571428571c
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