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Simplifying -19 + -3a = -2a + 3(1 + 7a) -19 + -3a = -2a + (1 * 3 + 7a * 3) -19 + -3a = -2a + (3 + 21a) Reorder the terms: -19 + -3a = 3 + -2a + 21a Combine like terms: -2a + 21a = 19a -19 + -3a = 3 + 19a Solving -19 + -3a = 3 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -19 + -3a + -19a = 3 + 19a + -19a Combine like terms: -3a + -19a = -22a -19 + -22a = 3 + 19a + -19a Combine like terms: 19a + -19a = 0 -19 + -22a = 3 + 0 -19 + -22a = 3 Add '19' to each side of the equation. -19 + 19 + -22a = 3 + 19 Combine like terms: -19 + 19 = 0 0 + -22a = 3 + 19 -22a = 3 + 19 Combine like terms: 3 + 19 = 22 -22a = 22 Divide each side by '-22'. a = -1 Simplifying a = -1
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