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Simplifying 3(a + -5) + 7(b + c) + -12 = 0 Reorder the terms: 3(-5 + a) + 7(b + c) + -12 = 0 (-5 * 3 + a * 3) + 7(b + c) + -12 = 0 (-15 + 3a) + 7(b + c) + -12 = 0 -15 + 3a + (b * 7 + c * 7) + -12 = 0 -15 + 3a + (7b + 7c) + -12 = 0 Reorder the terms: -15 + -12 + 3a + 7b + 7c = 0 Combine like terms: -15 + -12 = -27 -27 + 3a + 7b + 7c = 0 Solving -27 + 3a + 7b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 3a + 7b + 27 + 7c = 0 + 27 Reorder the terms: -27 + 27 + 3a + 7b + 7c = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 3a + 7b + 7c = 0 + 27 3a + 7b + 7c = 0 + 27 Combine like terms: 0 + 27 = 27 3a + 7b + 7c = 27 Add '-7b' to each side of the equation. 3a + 7b + -7b + 7c = 27 + -7b Combine like terms: 7b + -7b = 0 3a + 0 + 7c = 27 + -7b 3a + 7c = 27 + -7b Add '-7c' to each side of the equation. 3a + 7c + -7c = 27 + -7b + -7c Combine like terms: 7c + -7c = 0 3a + 0 = 27 + -7b + -7c 3a = 27 + -7b + -7c Divide each side by '3'. a = 9 + -2.333333333b + -2.333333333c Simplifying a = 9 + -2.333333333b + -2.333333333c
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