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Simplifying 2(a + -4) + 7(b + -8) = 0 Reorder the terms: 2(-4 + a) + 7(b + -8) = 0 (-4 * 2 + a * 2) + 7(b + -8) = 0 (-8 + 2a) + 7(b + -8) = 0 Reorder the terms: -8 + 2a + 7(-8 + b) = 0 -8 + 2a + (-8 * 7 + b * 7) = 0 -8 + 2a + (-56 + 7b) = 0 Reorder the terms: -8 + -56 + 2a + 7b = 0 Combine like terms: -8 + -56 = -64 -64 + 2a + 7b = 0 Solving -64 + 2a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 2a + 64 + 7b = 0 + 64 Reorder the terms: -64 + 64 + 2a + 7b = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 2a + 7b = 0 + 64 2a + 7b = 0 + 64 Combine like terms: 0 + 64 = 64 2a + 7b = 64 Add '-7b' to each side of the equation. 2a + 7b + -7b = 64 + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 64 + -7b 2a = 64 + -7b Divide each side by '2'. a = 32 + -3.5b Simplifying a = 32 + -3.5b
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