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Simplifying (19a + -12b + 5) + -1(8a + 4b + -5) = 0 Reorder the terms: (5 + 19a + -12b) + -1(8a + 4b + -5) = 0 Remove parenthesis around (5 + 19a + -12b) 5 + 19a + -12b + -1(8a + 4b + -5) = 0 Reorder the terms: 5 + 19a + -12b + -1(-5 + 8a + 4b) = 0 5 + 19a + -12b + (-5 * -1 + 8a * -1 + 4b * -1) = 0 5 + 19a + -12b + (5 + -8a + -4b) = 0 Reorder the terms: 5 + 5 + 19a + -8a + -12b + -4b = 0 Combine like terms: 5 + 5 = 10 10 + 19a + -8a + -12b + -4b = 0 Combine like terms: 19a + -8a = 11a 10 + 11a + -12b + -4b = 0 Combine like terms: -12b + -4b = -16b 10 + 11a + -16b = 0 Solving 10 + 11a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 11a + -10 + -16b = 0 + -10 Reorder the terms: 10 + -10 + 11a + -16b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11a + -16b = 0 + -10 11a + -16b = 0 + -10 Combine like terms: 0 + -10 = -10 11a + -16b = -10 Add '16b' to each side of the equation. 11a + -16b + 16b = -10 + 16b Combine like terms: -16b + 16b = 0 11a + 0 = -10 + 16b 11a = -10 + 16b Divide each side by '11'. a = -0.9090909091 + 1.454545455b Simplifying a = -0.9090909091 + 1.454545455b
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