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Simplifying 5a + -1b + 5 = 10a Reorder the terms: 5 + 5a + -1b = 10a Solving 5 + 5a + -1b = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 5a + -10a + -1b = 10a + -10a Combine like terms: 5a + -10a = -5a 5 + -5a + -1b = 10a + -10a Combine like terms: 10a + -10a = 0 5 + -5a + -1b = 0 Add '-5' to each side of the equation. 5 + -5a + -5 + -1b = 0 + -5 Reorder the terms: 5 + -5 + -5a + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5a + -1b = 0 + -5 -5a + -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -5a + -1b = -5 Add 'b' to each side of the equation. -5a + -1b + b = -5 + b Combine like terms: -1b + b = 0 -5a + 0 = -5 + b -5a = -5 + b Divide each side by '-5'. a = 1 + -0.2b Simplifying a = 1 + -0.2b
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