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Simplifying a + -7 = 7(6 + -3a) + -5 Reorder the terms: -7 + a = 7(6 + -3a) + -5 -7 + a = (6 * 7 + -3a * 7) + -5 -7 + a = (42 + -21a) + -5 Reorder the terms: -7 + a = 42 + -5 + -21a Combine like terms: 42 + -5 = 37 -7 + a = 37 + -21a Solving -7 + a = 37 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -7 + a + 21a = 37 + -21a + 21a Combine like terms: a + 21a = 22a -7 + 22a = 37 + -21a + 21a Combine like terms: -21a + 21a = 0 -7 + 22a = 37 + 0 -7 + 22a = 37 Add '7' to each side of the equation. -7 + 7 + 22a = 37 + 7 Combine like terms: -7 + 7 = 0 0 + 22a = 37 + 7 22a = 37 + 7 Combine like terms: 37 + 7 = 44 22a = 44 Divide each side by '22'. a = 2 Simplifying a = 2
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