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Simplifying -7a + 10 = a + 5 + -7a Reorder the terms: 10 + -7a = a + 5 + -7a Reorder the terms: 10 + -7a = 5 + a + -7a Combine like terms: a + -7a = -6a 10 + -7a = 5 + -6a Solving 10 + -7a = 5 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 10 + -7a + 6a = 5 + -6a + 6a Combine like terms: -7a + 6a = -1a 10 + -1a = 5 + -6a + 6a Combine like terms: -6a + 6a = 0 10 + -1a = 5 + 0 10 + -1a = 5 Add '-10' to each side of the equation. 10 + -10 + -1a = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 5 + -10 -1a = 5 + -10 Combine like terms: 5 + -10 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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