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Simplifying 3m + -1(x + 4a) = 7m + 5a Reorder the terms: 3m + -1(4a + x) = 7m + 5a 3m + (4a * -1 + x * -1) = 7m + 5a 3m + (-4a + -1x) = 7m + 5a Reorder the terms: -4a + 3m + -1x = 7m + 5a Reorder the terms: -4a + 3m + -1x = 5a + 7m Solving -4a + 3m + -1x = 5a + 7m Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4a + 3m + -5a + -1x = 5a + -5a + 7m Reorder the terms: -4a + -5a + 3m + -1x = 5a + -5a + 7m Combine like terms: -4a + -5a = -9a -9a + 3m + -1x = 5a + -5a + 7m Combine like terms: 5a + -5a = 0 -9a + 3m + -1x = 0 + 7m -9a + 3m + -1x = 7m Add '-3m' to each side of the equation. -9a + 3m + -3m + -1x = 7m + -3m Combine like terms: 3m + -3m = 0 -9a + 0 + -1x = 7m + -3m -9a + -1x = 7m + -3m Combine like terms: 7m + -3m = 4m -9a + -1x = 4m Add 'x' to each side of the equation. -9a + -1x + x = 4m + x Combine like terms: -1x + x = 0 -9a + 0 = 4m + x -9a = 4m + x Divide each side by '-9'. a = -0.4444444444m + -0.1111111111x Simplifying a = -0.4444444444m + -0.1111111111x
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