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Simplifying 14a + -2 = 19(a + -2) Reorder the terms: -2 + 14a = 19(a + -2) Reorder the terms: -2 + 14a = 19(-2 + a) -2 + 14a = (-2 * 19 + a * 19) -2 + 14a = (-38 + 19a) Solving -2 + 14a = -38 + 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. -2 + 14a + -19a = -38 + 19a + -19a Combine like terms: 14a + -19a = -5a -2 + -5a = -38 + 19a + -19a Combine like terms: 19a + -19a = 0 -2 + -5a = -38 + 0 -2 + -5a = -38 Add '2' to each side of the equation. -2 + 2 + -5a = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = -38 + 2 -5a = -38 + 2 Combine like terms: -38 + 2 = -36 -5a = -36 Divide each side by '-5'. a = 7.2 Simplifying a = 7.2
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