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Simplifying 6 + -17a = 47 + 10a Solving 6 + -17a = 47 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 6 + -17a + -10a = 47 + 10a + -10a Combine like terms: -17a + -10a = -27a 6 + -27a = 47 + 10a + -10a Combine like terms: 10a + -10a = 0 6 + -27a = 47 + 0 6 + -27a = 47 Add '-6' to each side of the equation. 6 + -6 + -27a = 47 + -6 Combine like terms: 6 + -6 = 0 0 + -27a = 47 + -6 -27a = 47 + -6 Combine like terms: 47 + -6 = 41 -27a = 41 Divide each side by '-27'. a = -1.518518519 Simplifying a = -1.518518519
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