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Simplifying 3(a + -3) = 12(a + 4) Reorder the terms: 3(-3 + a) = 12(a + 4) (-3 * 3 + a * 3) = 12(a + 4) (-9 + 3a) = 12(a + 4) Reorder the terms: -9 + 3a = 12(4 + a) -9 + 3a = (4 * 12 + a * 12) -9 + 3a = (48 + 12a) Solving -9 + 3a = 48 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -9 + 3a + -12a = 48 + 12a + -12a Combine like terms: 3a + -12a = -9a -9 + -9a = 48 + 12a + -12a Combine like terms: 12a + -12a = 0 -9 + -9a = 48 + 0 -9 + -9a = 48 Add '9' to each side of the equation. -9 + 9 + -9a = 48 + 9 Combine like terms: -9 + 9 = 0 0 + -9a = 48 + 9 -9a = 48 + 9 Combine like terms: 48 + 9 = 57 -9a = 57 Divide each side by '-9'. a = -6.333333333 Simplifying a = -6.333333333
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