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Simplifying 19(a + 6) = 21a Reorder the terms: 19(6 + a) = 21a (6 * 19 + a * 19) = 21a (114 + 19a) = 21a Solving 114 + 19a = 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 114 + 19a + -21a = 21a + -21a Combine like terms: 19a + -21a = -2a 114 + -2a = 21a + -21a Combine like terms: 21a + -21a = 0 114 + -2a = 0 Add '-114' to each side of the equation. 114 + -114 + -2a = 0 + -114 Combine like terms: 114 + -114 = 0 0 + -2a = 0 + -114 -2a = 0 + -114 Combine like terms: 0 + -114 = -114 -2a = -114 Divide each side by '-2'. a = 57 Simplifying a = 57
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