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Simplifying 3(a + -4) + -7(3a + 4) = -22 Reorder the terms: 3(-4 + a) + -7(3a + 4) = -22 (-4 * 3 + a * 3) + -7(3a + 4) = -22 (-12 + 3a) + -7(3a + 4) = -22 Reorder the terms: -12 + 3a + -7(4 + 3a) = -22 -12 + 3a + (4 * -7 + 3a * -7) = -22 -12 + 3a + (-28 + -21a) = -22 Reorder the terms: -12 + -28 + 3a + -21a = -22 Combine like terms: -12 + -28 = -40 -40 + 3a + -21a = -22 Combine like terms: 3a + -21a = -18a -40 + -18a = -22 Solving -40 + -18a = -22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -18a = -22 + 40 Combine like terms: -40 + 40 = 0 0 + -18a = -22 + 40 -18a = -22 + 40 Combine like terms: -22 + 40 = 18 -18a = 18 Divide each side by '-18'. a = -1 Simplifying a = -1
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