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Simplifying 5 + 7(ac + 3b) + 3ac = 0 5 + (ac * 7 + 3b * 7) + 3ac = 0 5 + (7ac + 21b) + 3ac = 0 Reorder the terms: 5 + 7ac + 3ac + 21b = 0 Combine like terms: 7ac + 3ac = 10ac 5 + 10ac + 21b = 0 Solving 5 + 10ac + 21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10ac + -5 + 21b = 0 + -5 Reorder the terms: 5 + -5 + 10ac + 21b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10ac + 21b = 0 + -5 10ac + 21b = 0 + -5 Combine like terms: 0 + -5 = -5 10ac + 21b = -5 Add '-21b' to each side of the equation. 10ac + 21b + -21b = -5 + -21b Combine like terms: 21b + -21b = 0 10ac + 0 = -5 + -21b 10ac = -5 + -21b Divide each side by '10c'. a = -0.5c-1 + -2.1bc-1 Simplifying a = -0.5c-1 + -2.1bc-1 Reorder the terms: a = -2.1bc-1 + -0.5c-1
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