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Simplifying 5(-9a + 8b) + -8(-6a + 3b) + -2 = X (-9a * 5 + 8b * 5) + -8(-6a + 3b) + -2 = X (-45a + 40b) + -8(-6a + 3b) + -2 = X -45a + 40b + (-6a * -8 + 3b * -8) + -2 = X -45a + 40b + (48a + -24b) + -2 = X Reorder the terms: -2 + -45a + 48a + 40b + -24b = X Combine like terms: -45a + 48a = 3a -2 + 3a + 40b + -24b = X Combine like terms: 40b + -24b = 16b -2 + 3a + 16b = X Solving -2 + 3a + 16b = X Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3a + 2 + 16b = 2 + X Reorder the terms: -2 + 2 + 3a + 16b = 2 + X Combine like terms: -2 + 2 = 0 0 + 3a + 16b = 2 + X 3a + 16b = 2 + X Add '-16b' to each side of the equation. 3a + 16b + -16b = 2 + X + -16b Combine like terms: 16b + -16b = 0 3a + 0 = 2 + X + -16b 3a = 2 + X + -16b Divide each side by '3'. a = 0.6666666667 + 0.3333333333X + -5.333333333b Simplifying a = 0.6666666667 + 0.3333333333X + -5.333333333b
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