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Simplifying 5(a + 2) = 7a Reorder the terms: 5(2 + a) = 7a (2 * 5 + a * 5) = 7a (10 + 5a) = 7a Solving 10 + 5a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10 + 5a + -7a = 7a + -7a Combine like terms: 5a + -7a = -2a 10 + -2a = 7a + -7a Combine like terms: 7a + -7a = 0 10 + -2a = 0 Add '-10' to each side of the equation. 10 + -10 + -2a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 0 + -10 -2a = 0 + -10 Combine like terms: 0 + -10 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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