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Simplifying -6a + 42 = 10a + 35 Reorder the terms: 42 + -6a = 10a + 35 Reorder the terms: 42 + -6a = 35 + 10a Solving 42 + -6a = 35 + 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. 42 + -6a + -10a = 35 + 10a + -10a Combine like terms: -6a + -10a = -16a 42 + -16a = 35 + 10a + -10a Combine like terms: 10a + -10a = 0 42 + -16a = 35 + 0 42 + -16a = 35 Add '-42' to each side of the equation. 42 + -42 + -16a = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = 35 + -42 -16a = 35 + -42 Combine like terms: 35 + -42 = -7 -16a = -7 Divide each side by '-16'. a = 0.4375 Simplifying a = 0.4375
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