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Simplifying 4 + 5(a + -2) + -1(25a + -4b2) + 2b2 = 0 Reorder the terms: 4 + 5(-2 + a) + -1(25a + -4b2) + 2b2 = 0 4 + (-2 * 5 + a * 5) + -1(25a + -4b2) + 2b2 = 0 4 + (-10 + 5a) + -1(25a + -4b2) + 2b2 = 0 4 + -10 + 5a + (25a * -1 + -4b2 * -1) + 2b2 = 0 4 + -10 + 5a + (-25a + 4b2) + 2b2 = 0 Combine like terms: 4 + -10 = -6 -6 + 5a + -25a + 4b2 + 2b2 = 0 Combine like terms: 5a + -25a = -20a -6 + -20a + 4b2 + 2b2 = 0 Combine like terms: 4b2 + 2b2 = 6b2 -6 + -20a + 6b2 = 0 Solving -6 + -20a + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -20a + 6 + 6b2 = 0 + 6 Reorder the terms: -6 + 6 + -20a + 6b2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -20a + 6b2 = 0 + 6 -20a + 6b2 = 0 + 6 Combine like terms: 0 + 6 = 6 -20a + 6b2 = 6 Add '-6b2' to each side of the equation. -20a + 6b2 + -6b2 = 6 + -6b2 Combine like terms: 6b2 + -6b2 = 0 -20a + 0 = 6 + -6b2 -20a = 6 + -6b2 Divide each side by '-20'. a = -0.3 + 0.3b2 Simplifying a = -0.3 + 0.3b2
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