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Simplifying 2a + -5 + 3b = 4a + -10b + 11 Reorder the terms: -5 + 2a + 3b = 4a + -10b + 11 Reorder the terms: -5 + 2a + 3b = 11 + 4a + -10b Solving -5 + 2a + 3b = 11 + 4a + -10b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + 2a + -4a + 3b = 11 + 4a + -4a + -10b Combine like terms: 2a + -4a = -2a -5 + -2a + 3b = 11 + 4a + -4a + -10b Combine like terms: 4a + -4a = 0 -5 + -2a + 3b = 11 + 0 + -10b -5 + -2a + 3b = 11 + -10b Add '5' to each side of the equation. -5 + -2a + 5 + 3b = 11 + 5 + -10b Reorder the terms: -5 + 5 + -2a + 3b = 11 + 5 + -10b Combine like terms: -5 + 5 = 0 0 + -2a + 3b = 11 + 5 + -10b -2a + 3b = 11 + 5 + -10b Combine like terms: 11 + 5 = 16 -2a + 3b = 16 + -10b Add '-3b' to each side of the equation. -2a + 3b + -3b = 16 + -10b + -3b Combine like terms: 3b + -3b = 0 -2a + 0 = 16 + -10b + -3b -2a = 16 + -10b + -3b Combine like terms: -10b + -3b = -13b -2a = 16 + -13b Divide each side by '-2'. a = -8 + 6.5b Simplifying a = -8 + 6.5b
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