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Simplifying 7(a + -4) + 4 = 3(a + -4) Reorder the terms: 7(-4 + a) + 4 = 3(a + -4) (-4 * 7 + a * 7) + 4 = 3(a + -4) (-28 + 7a) + 4 = 3(a + -4) Reorder the terms: -28 + 4 + 7a = 3(a + -4) Combine like terms: -28 + 4 = -24 -24 + 7a = 3(a + -4) Reorder the terms: -24 + 7a = 3(-4 + a) -24 + 7a = (-4 * 3 + a * 3) -24 + 7a = (-12 + 3a) Solving -24 + 7a = -12 + 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. -24 + 7a + -3a = -12 + 3a + -3a Combine like terms: 7a + -3a = 4a -24 + 4a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 4a = -12 + 0 -24 + 4a = -12 Add '24' to each side of the equation. -24 + 24 + 4a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4a = -12 + 24 4a = -12 + 24 Combine like terms: -12 + 24 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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