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Simplifying 3(a + 2) + -7 = 73 + -1a + -2 Reorder the terms: 3(2 + a) + -7 = 73 + -1a + -2 (2 * 3 + a * 3) + -7 = 73 + -1a + -2 (6 + 3a) + -7 = 73 + -1a + -2 Reorder the terms: 6 + -7 + 3a = 73 + -1a + -2 Combine like terms: 6 + -7 = -1 -1 + 3a = 73 + -1a + -2 Reorder the terms: -1 + 3a = 73 + -2 + -1a Combine like terms: 73 + -2 = 71 -1 + 3a = 71 + -1a Solving -1 + 3a = 71 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -1 + 3a + a = 71 + -1a + a Combine like terms: 3a + a = 4a -1 + 4a = 71 + -1a + a Combine like terms: -1a + a = 0 -1 + 4a = 71 + 0 -1 + 4a = 71 Add '1' to each side of the equation. -1 + 1 + 4a = 71 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 71 + 1 4a = 71 + 1 Combine like terms: 71 + 1 = 72 4a = 72 Divide each side by '4'. a = 18 Simplifying a = 18
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