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Simplifying -56 = -4(7a + 7) + 2(3 + -3a) Reorder the terms: -56 = -4(7 + 7a) + 2(3 + -3a) -56 = (7 * -4 + 7a * -4) + 2(3 + -3a) -56 = (-28 + -28a) + 2(3 + -3a) -56 = -28 + -28a + (3 * 2 + -3a * 2) -56 = -28 + -28a + (6 + -6a) Reorder the terms: -56 = -28 + 6 + -28a + -6a Combine like terms: -28 + 6 = -22 -56 = -22 + -28a + -6a Combine like terms: -28a + -6a = -34a -56 = -22 + -34a Solving -56 = -22 + -34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34a' to each side of the equation. -56 + 34a = -22 + -34a + 34a Combine like terms: -34a + 34a = 0 -56 + 34a = -22 + 0 -56 + 34a = -22 Add '56' to each side of the equation. -56 + 56 + 34a = -22 + 56 Combine like terms: -56 + 56 = 0 0 + 34a = -22 + 56 34a = -22 + 56 Combine like terms: -22 + 56 = 34 34a = 34 Divide each side by '34'. a = 1 Simplifying a = 1
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