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Simplifying 2(a + 4b + -5) + -3(2a + 10 + -4b) = 0 Reorder the terms: 2(-5 + a + 4b) + -3(2a + 10 + -4b) = 0 (-5 * 2 + a * 2 + 4b * 2) + -3(2a + 10 + -4b) = 0 (-10 + 2a + 8b) + -3(2a + 10 + -4b) = 0 Reorder the terms: -10 + 2a + 8b + -3(10 + 2a + -4b) = 0 -10 + 2a + 8b + (10 * -3 + 2a * -3 + -4b * -3) = 0 -10 + 2a + 8b + (-30 + -6a + 12b) = 0 Reorder the terms: -10 + -30 + 2a + -6a + 8b + 12b = 0 Combine like terms: -10 + -30 = -40 -40 + 2a + -6a + 8b + 12b = 0 Combine like terms: 2a + -6a = -4a -40 + -4a + 8b + 12b = 0 Combine like terms: 8b + 12b = 20b -40 + -4a + 20b = 0 Solving -40 + -4a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -4a + 40 + 20b = 0 + 40 Reorder the terms: -40 + 40 + -4a + 20b = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -4a + 20b = 0 + 40 -4a + 20b = 0 + 40 Combine like terms: 0 + 40 = 40 -4a + 20b = 40 Add '-20b' to each side of the equation. -4a + 20b + -20b = 40 + -20b Combine like terms: 20b + -20b = 0 -4a + 0 = 40 + -20b -4a = 40 + -20b Divide each side by '-4'. a = -10 + 5b Simplifying a = -10 + 5b
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