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Simplifying -6b(5a + -2b) + -7(-3ab + -4b2) = 0 (5a * -6b + -2b * -6b) + -7(-3ab + -4b2) = 0 (-30ab + 12b2) + -7(-3ab + -4b2) = 0 -30ab + 12b2 + (-3ab * -7 + -4b2 * -7) = 0 -30ab + 12b2 + (21ab + 28b2) = 0 Reorder the terms: -30ab + 21ab + 12b2 + 28b2 = 0 Combine like terms: -30ab + 21ab = -9ab -9ab + 12b2 + 28b2 = 0 Combine like terms: 12b2 + 28b2 = 40b2 -9ab + 40b2 = 0 Solving -9ab + 40b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40b2' to each side of the equation. -9ab + 40b2 + -40b2 = 0 + -40b2 Combine like terms: 40b2 + -40b2 = 0 -9ab + 0 = 0 + -40b2 -9ab = 0 + -40b2 Remove the zero: -9ab = -40b2 Divide each side by '-9b'. a = 4.444444444b Simplifying a = 4.444444444b
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