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Simplifying -1(a + 7) = -19 + 3a Reorder the terms: -1(7 + a) = -19 + 3a (7 * -1 + a * -1) = -19 + 3a (-7 + -1a) = -19 + 3a Solving -7 + -1a = -19 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + -1a + -3a = -19 + 3a + -3a Combine like terms: -1a + -3a = -4a -7 + -4a = -19 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + -4a = -19 + 0 -7 + -4a = -19 Add '7' to each side of the equation. -7 + 7 + -4a = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = -19 + 7 -4a = -19 + 7 Combine like terms: -19 + 7 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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