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Simplifying 5(a + -2) + 16 = 7a Reorder the terms: 5(-2 + a) + 16 = 7a (-2 * 5 + a * 5) + 16 = 7a (-10 + 5a) + 16 = 7a Reorder the terms: -10 + 16 + 5a = 7a Combine like terms: -10 + 16 = 6 6 + 5a = 7a Solving 6 + 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. 6 + 5a + -7a = 7a + -7a Combine like terms: 5a + -7a = -2a 6 + -2a = 7a + -7a Combine like terms: 7a + -7a = 0 6 + -2a = 0 Add '-6' to each side of the equation. 6 + -6 + -2a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = 0 + -6 -2a = 0 + -6 Combine like terms: 0 + -6 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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