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Simplifying 6a + 40 = 10a + 30 Reorder the terms: 40 + 6a = 10a + 30 Reorder the terms: 40 + 6a = 30 + 10a Solving 40 + 6a = 30 + 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. 40 + 6a + -10a = 30 + 10a + -10a Combine like terms: 6a + -10a = -4a 40 + -4a = 30 + 10a + -10a Combine like terms: 10a + -10a = 0 40 + -4a = 30 + 0 40 + -4a = 30 Add '-40' to each side of the equation. 40 + -40 + -4a = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -4a = 30 + -40 -4a = 30 + -40 Combine like terms: 30 + -40 = -10 -4a = -10 Divide each side by '-4'. a = 2.5 Simplifying a = 2.5
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