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Simplifying 4(a + -3) + 6 = 9a + 15 + -12a Reorder the terms: 4(-3 + a) + 6 = 9a + 15 + -12a (-3 * 4 + a * 4) + 6 = 9a + 15 + -12a (-12 + 4a) + 6 = 9a + 15 + -12a Reorder the terms: -12 + 6 + 4a = 9a + 15 + -12a Combine like terms: -12 + 6 = -6 -6 + 4a = 9a + 15 + -12a Reorder the terms: -6 + 4a = 15 + 9a + -12a Combine like terms: 9a + -12a = -3a -6 + 4a = 15 + -3a Solving -6 + 4a = 15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -6 + 4a + 3a = 15 + -3a + 3a Combine like terms: 4a + 3a = 7a -6 + 7a = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 -6 + 7a = 15 + 0 -6 + 7a = 15 Add '6' to each side of the equation. -6 + 6 + 7a = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7a = 15 + 6 7a = 15 + 6 Combine like terms: 15 + 6 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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