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Simplifying b(a + -7) + 3(7 + -2) = 0 Reorder the terms: b(-7 + a) + 3(7 + -2) = 0 (-7 * b + a * b) + 3(7 + -2) = 0 Reorder the terms: (ab + -7b) + 3(7 + -2) = 0 (ab + -7b) + 3(7 + -2) = 0 Combine like terms: 7 + -2 = 5 ab + -7b + 3(5) = 0 Multiply 3 * 5 ab + -7b + 15 = 0 Reorder the terms: 15 + ab + -7b = 0 Solving 15 + ab + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + ab + -15 + -7b = 0 + -15 Reorder the terms: 15 + -15 + ab + -7b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + ab + -7b = 0 + -15 ab + -7b = 0 + -15 Combine like terms: 0 + -15 = -15 ab + -7b = -15 Add '7b' to each side of the equation. ab + -7b + 7b = -15 + 7b Combine like terms: -7b + 7b = 0 ab + 0 = -15 + 7b ab = -15 + 7b Divide each side by 'b'. a = -15b-1 + 7 Simplifying a = -15b-1 + 7 Reorder the terms: a = 7 + -15b-1
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