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Simplifying 4(-3a + -1) = -4(a + 7) Reorder the terms: 4(-1 + -3a) = -4(a + 7) (-1 * 4 + -3a * 4) = -4(a + 7) (-4 + -12a) = -4(a + 7) Reorder the terms: -4 + -12a = -4(7 + a) -4 + -12a = (7 * -4 + a * -4) -4 + -12a = (-28 + -4a) Solving -4 + -12a = -28 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -4 + -12a + 4a = -28 + -4a + 4a Combine like terms: -12a + 4a = -8a -4 + -8a = -28 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + -8a = -28 + 0 -4 + -8a = -28 Add '4' to each side of the equation. -4 + 4 + -8a = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -8a = -28 + 4 -8a = -28 + 4 Combine like terms: -28 + 4 = -24 -8a = -24 Divide each side by '-8'. a = 3 Simplifying a = 3
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