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Simplifying 7(a + -3) + 1 = 22 + a Reorder the terms: 7(-3 + a) + 1 = 22 + a (-3 * 7 + a * 7) + 1 = 22 + a (-21 + 7a) + 1 = 22 + a Reorder the terms: -21 + 1 + 7a = 22 + a Combine like terms: -21 + 1 = -20 -20 + 7a = 22 + a Solving -20 + 7a = 22 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -20 + 7a + -1a = 22 + a + -1a Combine like terms: 7a + -1a = 6a -20 + 6a = 22 + a + -1a Combine like terms: a + -1a = 0 -20 + 6a = 22 + 0 -20 + 6a = 22 Add '20' to each side of the equation. -20 + 20 + 6a = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = 22 + 20 6a = 22 + 20 Combine like terms: 22 + 20 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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