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Simplifying -2 + -7(7 + 3a) = -8a + -1(3a + a) -2 + (7 * -7 + 3a * -7) = -8a + -1(3a + a) -2 + (-49 + -21a) = -8a + -1(3a + a) Combine like terms: -2 + -49 = -51 -51 + -21a = -8a + -1(3a + a) Combine like terms: 3a + a = 4a -51 + -21a = -8a + -1(4a) Remove parenthesis around (4a) -51 + -21a = -8a + -1 * 4a Multiply -1 * 4 -51 + -21a = -8a + -4a Combine like terms: -8a + -4a = -12a -51 + -21a = -12a Solving -51 + -21a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -51 + -21a + 12a = -12a + 12a Combine like terms: -21a + 12a = -9a -51 + -9a = -12a + 12a Combine like terms: -12a + 12a = 0 -51 + -9a = 0 Add '51' to each side of the equation. -51 + 51 + -9a = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -9a = 0 + 51 -9a = 0 + 51 Combine like terms: 0 + 51 = 51 -9a = 51 Divide each side by '-9'. a = -5.666666667 Simplifying a = -5.666666667
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