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Simplifying 4a + -4(2a + -12) = 2a + -18 Reorder the terms: 4a + -4(-12 + 2a) = 2a + -18 4a + (-12 * -4 + 2a * -4) = 2a + -18 4a + (48 + -8a) = 2a + -18 Reorder the terms: 48 + 4a + -8a = 2a + -18 Combine like terms: 4a + -8a = -4a 48 + -4a = 2a + -18 Reorder the terms: 48 + -4a = -18 + 2a Solving 48 + -4a = -18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 48 + -4a + -2a = -18 + 2a + -2a Combine like terms: -4a + -2a = -6a 48 + -6a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 48 + -6a = -18 + 0 48 + -6a = -18 Add '-48' to each side of the equation. 48 + -48 + -6a = -18 + -48 Combine like terms: 48 + -48 = 0 0 + -6a = -18 + -48 -6a = -18 + -48 Combine like terms: -18 + -48 = -66 -6a = -66 Divide each side by '-6'. a = 11 Simplifying a = 11
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