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Simplifying 6a + -3b + x + -1y = 7a + -10b Solving 6a + -3b + x + -1y = 7a + -10b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 6a + -3b + x + -7a + -1y = 7a + -7a + -10b Reorder the terms: 6a + -7a + -3b + x + -1y = 7a + -7a + -10b Combine like terms: 6a + -7a = -1a -1a + -3b + x + -1y = 7a + -7a + -10b Combine like terms: 7a + -7a = 0 -1a + -3b + x + -1y = 0 + -10b -1a + -3b + x + -1y = -10b Add '3b' to each side of the equation. -1a + -3b + x + 3b + -1y = -10b + 3b Reorder the terms: -1a + -3b + 3b + x + -1y = -10b + 3b Combine like terms: -3b + 3b = 0 -1a + 0 + x + -1y = -10b + 3b -1a + x + -1y = -10b + 3b Combine like terms: -10b + 3b = -7b -1a + x + -1y = -7b Add '-1x' to each side of the equation. -1a + x + -1x + -1y = -7b + -1x Combine like terms: x + -1x = 0 -1a + 0 + -1y = -7b + -1x -1a + -1y = -7b + -1x Add 'y' to each side of the equation. -1a + -1y + y = -7b + -1x + y Combine like terms: -1y + y = 0 -1a + 0 = -7b + -1x + y -1a = -7b + -1x + y Divide each side by '-1'. a = 7b + x + -1y Simplifying a = 7b + x + -1y
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