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Simplifying -4(4a + 3) + 2a = -8a + -36 Reorder the terms: -4(3 + 4a) + 2a = -8a + -36 (3 * -4 + 4a * -4) + 2a = -8a + -36 (-12 + -16a) + 2a = -8a + -36 Combine like terms: -16a + 2a = -14a -12 + -14a = -8a + -36 Reorder the terms: -12 + -14a = -36 + -8a Solving -12 + -14a = -36 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -12 + -14a + 8a = -36 + -8a + 8a Combine like terms: -14a + 8a = -6a -12 + -6a = -36 + -8a + 8a Combine like terms: -8a + 8a = 0 -12 + -6a = -36 + 0 -12 + -6a = -36 Add '12' to each side of the equation. -12 + 12 + -6a = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -6a = -36 + 12 -6a = -36 + 12 Combine like terms: -36 + 12 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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