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Simplifying 7(2x + -1) + -3(2a + -1b) = 0 Reorder the terms: 7(-1 + 2x) + -3(2a + -1b) = 0 (-1 * 7 + 2x * 7) + -3(2a + -1b) = 0 (-7 + 14x) + -3(2a + -1b) = 0 -7 + 14x + (2a * -3 + -1b * -3) = 0 -7 + 14x + (-6a + 3b) = 0 Reorder the terms: -7 + -6a + 3b + 14x = 0 Solving -7 + -6a + 3b + 14x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6a + 3b + 7 + 14x = 0 + 7 Reorder the terms: -7 + 7 + -6a + 3b + 14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6a + 3b + 14x = 0 + 7 -6a + 3b + 14x = 0 + 7 Combine like terms: 0 + 7 = 7 -6a + 3b + 14x = 7 Add '-3b' to each side of the equation. -6a + 3b + -3b + 14x = 7 + -3b Combine like terms: 3b + -3b = 0 -6a + 0 + 14x = 7 + -3b -6a + 14x = 7 + -3b Add '-14x' to each side of the equation. -6a + 14x + -14x = 7 + -3b + -14x Combine like terms: 14x + -14x = 0 -6a + 0 = 7 + -3b + -14x -6a = 7 + -3b + -14x Divide each side by '-6'. a = -1.166666667 + 0.5b + 2.333333333x Simplifying a = -1.166666667 + 0.5b + 2.333333333x
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