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Simplifying 4a + -3(a + 4) = -2a + 15 Reorder the terms: 4a + -3(4 + a) = -2a + 15 4a + (4 * -3 + a * -3) = -2a + 15 4a + (-12 + -3a) = -2a + 15 Reorder the terms: -12 + 4a + -3a = -2a + 15 Combine like terms: 4a + -3a = 1a -12 + 1a = -2a + 15 Reorder the terms: -12 + 1a = 15 + -2a Solving -12 + 1a = 15 + -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 + 1a + 2a = 15 + -2a + 2a Combine like terms: 1a + 2a = 3a -12 + 3a = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 -12 + 3a = 15 + 0 -12 + 3a = 15 Add '12' to each side of the equation. -12 + 12 + 3a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 15 + 12 3a = 15 + 12 Combine like terms: 15 + 12 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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