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Simplifying 17 + -6a = 47 + 10a Solving 17 + -6a = 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. 17 + -6a + -10a = 47 + 10a + -10a Combine like terms: -6a + -10a = -16a 17 + -16a = 47 + 10a + -10a Combine like terms: 10a + -10a = 0 17 + -16a = 47 + 0 17 + -16a = 47 Add '-17' to each side of the equation. 17 + -17 + -16a = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -16a = 47 + -17 -16a = 47 + -17 Combine like terms: 47 + -17 = 30 -16a = 30 Divide each side by '-16'. a = -1.875 Simplifying a = -1.875
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