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Simplifying 16 + 7a = 5(a + -1) + 5a Reorder the terms: 16 + 7a = 5(-1 + a) + 5a 16 + 7a = (-1 * 5 + a * 5) + 5a 16 + 7a = (-5 + 5a) + 5a Combine like terms: 5a + 5a = 10a 16 + 7a = -5 + 10a Solving 16 + 7a = -5 + 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. 16 + 7a + -10a = -5 + 10a + -10a Combine like terms: 7a + -10a = -3a 16 + -3a = -5 + 10a + -10a Combine like terms: 10a + -10a = 0 16 + -3a = -5 + 0 16 + -3a = -5 Add '-16' to each side of the equation. 16 + -16 + -3a = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -3a = -5 + -16 -3a = -5 + -16 Combine like terms: -5 + -16 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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