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Simplifying 2(4a + -6b) = 2(8a + -10b) (4a * 2 + -6b * 2) = 2(8a + -10b) (8a + -12b) = 2(8a + -10b) 8a + -12b = (8a * 2 + -10b * 2) 8a + -12b = (16a + -20b) Solving 8a + -12b = 16a + -20b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 8a + -16a + -12b = 16a + -16a + -20b Combine like terms: 8a + -16a = -8a -8a + -12b = 16a + -16a + -20b Combine like terms: 16a + -16a = 0 -8a + -12b = 0 + -20b -8a + -12b = -20b Add '12b' to each side of the equation. -8a + -12b + 12b = -20b + 12b Combine like terms: -12b + 12b = 0 -8a + 0 = -20b + 12b -8a = -20b + 12b Combine like terms: -20b + 12b = -8b -8a = -8b Divide each side by '-8'. a = b Simplifying a = b
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