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