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Simplifying -2a + -4(a + 3) = 3a + 15 Reorder the terms: -2a + -4(3 + a) = 3a + 15 -2a + (3 * -4 + a * -4) = 3a + 15 -2a + (-12 + -4a) = 3a + 15 Reorder the terms: -12 + -2a + -4a = 3a + 15 Combine like terms: -2a + -4a = -6a -12 + -6a = 3a + 15 Reorder the terms: -12 + -6a = 15 + 3a Solving -12 + -6a = 15 + 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. -12 + -6a + -3a = 15 + 3a + -3a Combine like terms: -6a + -3a = -9a -12 + -9a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -9a = 15 + 0 -12 + -9a = 15 Add '12' to each side of the equation. -12 + 12 + -9a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -9a = 15 + 12 -9a = 15 + 12 Combine like terms: 15 + 12 = 27 -9a = 27 Divide each side by '-9'. a = -3 Simplifying a = -3
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