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Simplifying 6a + -47 + -2a = 8a + -15 Reorder the terms: -47 + 6a + -2a = 8a + -15 Combine like terms: 6a + -2a = 4a -47 + 4a = 8a + -15 Reorder the terms: -47 + 4a = -15 + 8a Solving -47 + 4a = -15 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -47 + 4a + -8a = -15 + 8a + -8a Combine like terms: 4a + -8a = -4a -47 + -4a = -15 + 8a + -8a Combine like terms: 8a + -8a = 0 -47 + -4a = -15 + 0 -47 + -4a = -15 Add '47' to each side of the equation. -47 + 47 + -4a = -15 + 47 Combine like terms: -47 + 47 = 0 0 + -4a = -15 + 47 -4a = -15 + 47 Combine like terms: -15 + 47 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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