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Simplifying 4a + 32 = 6a + -48 Reorder the terms: 32 + 4a = 6a + -48 Reorder the terms: 32 + 4a = -48 + 6a Solving 32 + 4a = -48 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 32 + 4a + -6a = -48 + 6a + -6a Combine like terms: 4a + -6a = -2a 32 + -2a = -48 + 6a + -6a Combine like terms: 6a + -6a = 0 32 + -2a = -48 + 0 32 + -2a = -48 Add '-32' to each side of the equation. 32 + -32 + -2a = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -2a = -48 + -32 -2a = -48 + -32 Combine like terms: -48 + -32 = -80 -2a = -80 Divide each side by '-2'. a = 40 Simplifying a = 40
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