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Simplifying 2(5a + -12) = 6(2a + -3) + 2 Reorder the terms: 2(-12 + 5a) = 6(2a + -3) + 2 (-12 * 2 + 5a * 2) = 6(2a + -3) + 2 (-24 + 10a) = 6(2a + -3) + 2 Reorder the terms: -24 + 10a = 6(-3 + 2a) + 2 -24 + 10a = (-3 * 6 + 2a * 6) + 2 -24 + 10a = (-18 + 12a) + 2 Reorder the terms: -24 + 10a = -18 + 2 + 12a Combine like terms: -18 + 2 = -16 -24 + 10a = -16 + 12a Solving -24 + 10a = -16 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -24 + 10a + -12a = -16 + 12a + -12a Combine like terms: 10a + -12a = -2a -24 + -2a = -16 + 12a + -12a Combine like terms: 12a + -12a = 0 -24 + -2a = -16 + 0 -24 + -2a = -16 Add '24' to each side of the equation. -24 + 24 + -2a = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -2a = -16 + 24 -2a = -16 + 24 Combine like terms: -16 + 24 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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