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Simplifying -28 + -7a = 7(3 + 6a) -28 + -7a = (3 * 7 + 6a * 7) -28 + -7a = (21 + 42a) Solving -28 + -7a = 21 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -28 + -7a + -42a = 21 + 42a + -42a Combine like terms: -7a + -42a = -49a -28 + -49a = 21 + 42a + -42a Combine like terms: 42a + -42a = 0 -28 + -49a = 21 + 0 -28 + -49a = 21 Add '28' to each side of the equation. -28 + 28 + -49a = 21 + 28 Combine like terms: -28 + 28 = 0 0 + -49a = 21 + 28 -49a = 21 + 28 Combine like terms: 21 + 28 = 49 -49a = 49 Divide each side by '-49'. a = -1 Simplifying a = -1
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