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Simplifying 14a + -10 = 19(a + -3) Reorder the terms: -10 + 14a = 19(a + -3) Reorder the terms: -10 + 14a = 19(-3 + a) -10 + 14a = (-3 * 19 + a * 19) -10 + 14a = (-57 + 19a) Solving -10 + 14a = -57 + 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. -10 + 14a + -19a = -57 + 19a + -19a Combine like terms: 14a + -19a = -5a -10 + -5a = -57 + 19a + -19a Combine like terms: 19a + -19a = 0 -10 + -5a = -57 + 0 -10 + -5a = -57 Add '10' to each side of the equation. -10 + 10 + -5a = -57 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = -57 + 10 -5a = -57 + 10 Combine like terms: -57 + 10 = -47 -5a = -47 Divide each side by '-5'. a = 9.4 Simplifying a = 9.4
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