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Simplifying 4(2a + -3) = a + 2 Reorder the terms: 4(-3 + 2a) = a + 2 (-3 * 4 + 2a * 4) = a + 2 (-12 + 8a) = a + 2 Reorder the terms: -12 + 8a = 2 + a Solving -12 + 8a = 2 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 8a + -1a = 2 + a + -1a Combine like terms: 8a + -1a = 7a -12 + 7a = 2 + a + -1a Combine like terms: a + -1a = 0 -12 + 7a = 2 + 0 -12 + 7a = 2 Add '12' to each side of the equation. -12 + 12 + 7a = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7a = 2 + 12 7a = 2 + 12 Combine like terms: 2 + 12 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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