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Simplifying 7a + 10 = 50a + -3a Reorder the terms: 10 + 7a = 50a + -3a Combine like terms: 50a + -3a = 47a 10 + 7a = 47a Solving 10 + 7a = 47a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47a' to each side of the equation. 10 + 7a + -47a = 47a + -47a Combine like terms: 7a + -47a = -40a 10 + -40a = 47a + -47a Combine like terms: 47a + -47a = 0 10 + -40a = 0 Add '-10' to each side of the equation. 10 + -10 + -40a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -40a = 0 + -10 -40a = 0 + -10 Combine like terms: 0 + -10 = -10 -40a = -10 Divide each side by '-40'. a = 0.25 Simplifying a = 0.25
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