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Simplifying 4x + 6(2a + -2) = 2a + 10 Reorder the terms: 4x + 6(-2 + 2a) = 2a + 10 4x + (-2 * 6 + 2a * 6) = 2a + 10 4x + (-12 + 12a) = 2a + 10 Reorder the terms: -12 + 12a + 4x = 2a + 10 Reorder the terms: -12 + 12a + 4x = 10 + 2a Solving -12 + 12a + 4x = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -12 + 12a + -2a + 4x = 10 + 2a + -2a Combine like terms: 12a + -2a = 10a -12 + 10a + 4x = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 10a + 4x = 10 + 0 -12 + 10a + 4x = 10 Add '12' to each side of the equation. -12 + 10a + 12 + 4x = 10 + 12 Reorder the terms: -12 + 12 + 10a + 4x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 10a + 4x = 10 + 12 10a + 4x = 10 + 12 Combine like terms: 10 + 12 = 22 10a + 4x = 22 Add '-4x' to each side of the equation. 10a + 4x + -4x = 22 + -4x Combine like terms: 4x + -4x = 0 10a + 0 = 22 + -4x 10a = 22 + -4x Divide each side by '10'. a = 2.2 + -0.4x Simplifying a = 2.2 + -0.4x
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