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Simplifying -18 + 4a = 7a + 3(2 + 7a) -18 + 4a = 7a + (2 * 3 + 7a * 3) -18 + 4a = 7a + (6 + 21a) Reorder the terms: -18 + 4a = 6 + 7a + 21a Combine like terms: 7a + 21a = 28a -18 + 4a = 6 + 28a Solving -18 + 4a = 6 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -18 + 4a + -28a = 6 + 28a + -28a Combine like terms: 4a + -28a = -24a -18 + -24a = 6 + 28a + -28a Combine like terms: 28a + -28a = 0 -18 + -24a = 6 + 0 -18 + -24a = 6 Add '18' to each side of the equation. -18 + 18 + -24a = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -24a = 6 + 18 -24a = 6 + 18 Combine like terms: 6 + 18 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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