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Simplifying -3(a + -5) + 7(b + -2) = 0 Reorder the terms: -3(-5 + a) + 7(b + -2) = 0 (-5 * -3 + a * -3) + 7(b + -2) = 0 (15 + -3a) + 7(b + -2) = 0 Reorder the terms: 15 + -3a + 7(-2 + b) = 0 15 + -3a + (-2 * 7 + b * 7) = 0 15 + -3a + (-14 + 7b) = 0 Reorder the terms: 15 + -14 + -3a + 7b = 0 Combine like terms: 15 + -14 = 1 1 + -3a + 7b = 0 Solving 1 + -3a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3a + -1 + 7b = 0 + -1 Reorder the terms: 1 + -1 + -3a + 7b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a + 7b = 0 + -1 -3a + 7b = 0 + -1 Combine like terms: 0 + -1 = -1 -3a + 7b = -1 Add '-7b' to each side of the equation. -3a + 7b + -7b = -1 + -7b Combine like terms: 7b + -7b = 0 -3a + 0 = -1 + -7b -3a = -1 + -7b Divide each side by '-3'. a = 0.3333333333 + 2.333333333b Simplifying a = 0.3333333333 + 2.333333333b
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