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Simplifying 1a + 4b + 3 + -7a + -5b + -10 = 0 Reorder the terms: 3 + -10 + 1a + -7a + 4b + -5b = 0 Combine like terms: 3 + -10 = -7 -7 + 1a + -7a + 4b + -5b = 0 Combine like terms: 1a + -7a = -6a -7 + -6a + 4b + -5b = 0 Combine like terms: 4b + -5b = -1b -7 + -6a + -1b = 0 Solving -7 + -6a + -1b = 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 + 7 + -1b = 0 + 7 Reorder the terms: -7 + 7 + -6a + -1b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6a + -1b = 0 + 7 -6a + -1b = 0 + 7 Combine like terms: 0 + 7 = 7 -6a + -1b = 7 Add 'b' to each side of the equation. -6a + -1b + b = 7 + b Combine like terms: -1b + b = 0 -6a + 0 = 7 + b -6a = 7 + b Divide each side by '-6'. a = -1.166666667 + -0.1666666667b Simplifying a = -1.166666667 + -0.1666666667b
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