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Simplifying -7(-3x + -2) + 5(-4a + 5b) = 0 Reorder the terms: -7(-2 + -3x) + 5(-4a + 5b) = 0 (-2 * -7 + -3x * -7) + 5(-4a + 5b) = 0 (14 + 21x) + 5(-4a + 5b) = 0 14 + 21x + (-4a * 5 + 5b * 5) = 0 14 + 21x + (-20a + 25b) = 0 Reorder the terms: 14 + -20a + 25b + 21x = 0 Solving 14 + -20a + 25b + 21x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -20a + 25b + -14 + 21x = 0 + -14 Reorder the terms: 14 + -14 + -20a + 25b + 21x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -20a + 25b + 21x = 0 + -14 -20a + 25b + 21x = 0 + -14 Combine like terms: 0 + -14 = -14 -20a + 25b + 21x = -14 Add '-25b' to each side of the equation. -20a + 25b + -25b + 21x = -14 + -25b Combine like terms: 25b + -25b = 0 -20a + 0 + 21x = -14 + -25b -20a + 21x = -14 + -25b Add '-21x' to each side of the equation. -20a + 21x + -21x = -14 + -25b + -21x Combine like terms: 21x + -21x = 0 -20a + 0 = -14 + -25b + -21x -20a = -14 + -25b + -21x Divide each side by '-20'. a = 0.7 + 1.25b + 1.05x Simplifying a = 0.7 + 1.25b + 1.05x
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