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Simplifying 2(2a + -1b) + -7(7 + -4a) = 0 (2a * 2 + -1b * 2) + -7(7 + -4a) = 0 (4a + -2b) + -7(7 + -4a) = 0 4a + -2b + (7 * -7 + -4a * -7) = 0 4a + -2b + (-49 + 28a) = 0 Reorder the terms: -49 + 4a + 28a + -2b = 0 Combine like terms: 4a + 28a = 32a -49 + 32a + -2b = 0 Solving -49 + 32a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 32a + 49 + -2b = 0 + 49 Reorder the terms: -49 + 49 + 32a + -2b = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 32a + -2b = 0 + 49 32a + -2b = 0 + 49 Combine like terms: 0 + 49 = 49 32a + -2b = 49 Add '2b' to each side of the equation. 32a + -2b + 2b = 49 + 2b Combine like terms: -2b + 2b = 0 32a + 0 = 49 + 2b 32a = 49 + 2b Divide each side by '32'. a = 1.53125 + 0.0625b Simplifying a = 1.53125 + 0.0625b
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