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Simplifying 6a + -48 + 32 = 2a + -12 Reorder the terms: -48 + 32 + 6a = 2a + -12 Combine like terms: -48 + 32 = -16 -16 + 6a = 2a + -12 Reorder the terms: -16 + 6a = -12 + 2a Solving -16 + 6a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -16 + 6a + -2a = -12 + 2a + -2a Combine like terms: 6a + -2a = 4a -16 + 4a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + 4a = -12 + 0 -16 + 4a = -12 Add '16' to each side of the equation. -16 + 16 + 4a = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4a = -12 + 16 4a = -12 + 16 Combine like terms: -12 + 16 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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