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Simplifying 1 + -3(a + 2) = 7 + a Reorder the terms: 1 + -3(2 + a) = 7 + a 1 + (2 * -3 + a * -3) = 7 + a 1 + (-6 + -3a) = 7 + a Combine like terms: 1 + -6 = -5 -5 + -3a = 7 + a Solving -5 + -3a = 7 + 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. -5 + -3a + -1a = 7 + a + -1a Combine like terms: -3a + -1a = -4a -5 + -4a = 7 + a + -1a Combine like terms: a + -1a = 0 -5 + -4a = 7 + 0 -5 + -4a = 7 Add '5' to each side of the equation. -5 + 5 + -4a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = 7 + 5 -4a = 7 + 5 Combine like terms: 7 + 5 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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