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Simplifying 2(6a + -6b) = 4(8a + -8b) (6a * 2 + -6b * 2) = 4(8a + -8b) (12a + -12b) = 4(8a + -8b) 12a + -12b = (8a * 4 + -8b * 4) 12a + -12b = (32a + -32b) Solving 12a + -12b = 32a + -32b 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. 12a + -32a + -12b = 32a + -32a + -32b Combine like terms: 12a + -32a = -20a -20a + -12b = 32a + -32a + -32b Combine like terms: 32a + -32a = 0 -20a + -12b = 0 + -32b -20a + -12b = -32b Add '12b' to each side of the equation. -20a + -12b + 12b = -32b + 12b Combine like terms: -12b + 12b = 0 -20a + 0 = -32b + 12b -20a = -32b + 12b Combine like terms: -32b + 12b = -20b -20a = -20b Divide each side by '-20'. a = b Simplifying a = b
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