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Simplifying 2a + -3(-2a + 4) = -48 + 2a Reorder the terms: 2a + -3(4 + -2a) = -48 + 2a 2a + (4 * -3 + -2a * -3) = -48 + 2a 2a + (-12 + 6a) = -48 + 2a Reorder the terms: -12 + 2a + 6a = -48 + 2a Combine like terms: 2a + 6a = 8a -12 + 8a = -48 + 2a Solving -12 + 8a = -48 + 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. -12 + 8a + -2a = -48 + 2a + -2a Combine like terms: 8a + -2a = 6a -12 + 6a = -48 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 6a = -48 + 0 -12 + 6a = -48 Add '12' to each side of the equation. -12 + 12 + 6a = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 6a = -48 + 12 6a = -48 + 12 Combine like terms: -48 + 12 = -36 6a = -36 Divide each side by '6'. a = -6 Simplifying a = -6
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