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Simplifying 3(4a + 4) = 8(4a + -6) Reorder the terms: 3(4 + 4a) = 8(4a + -6) (4 * 3 + 4a * 3) = 8(4a + -6) (12 + 12a) = 8(4a + -6) Reorder the terms: 12 + 12a = 8(-6 + 4a) 12 + 12a = (-6 * 8 + 4a * 8) 12 + 12a = (-48 + 32a) Solving 12 + 12a = -48 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 12 + 12a + -32a = -48 + 32a + -32a Combine like terms: 12a + -32a = -20a 12 + -20a = -48 + 32a + -32a Combine like terms: 32a + -32a = 0 12 + -20a = -48 + 0 12 + -20a = -48 Add '-12' to each side of the equation. 12 + -12 + -20a = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -20a = -48 + -12 -20a = -48 + -12 Combine like terms: -48 + -12 = -60 -20a = -60 Divide each side by '-20'. a = 3 Simplifying a = 3
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