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Simplifying 6a + -17 = 47 + 10a Reorder the terms: -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 = -4a -17 + -4a = 47 + 10a + -10a Combine like terms: 10a + -10a = 0 -17 + -4a = 47 + 0 -17 + -4a = 47 Add '17' to each side of the equation. -17 + 17 + -4a = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4a = 47 + 17 -4a = 47 + 17 Combine like terms: 47 + 17 = 64 -4a = 64 Divide each side by '-4'. a = -16 Simplifying a = -16
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