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Simplifying -1(2a + -2) = 4(3a + -3) Reorder the terms: -1(-2 + 2a) = 4(3a + -3) (-2 * -1 + 2a * -1) = 4(3a + -3) (2 + -2a) = 4(3a + -3) Reorder the terms: 2 + -2a = 4(-3 + 3a) 2 + -2a = (-3 * 4 + 3a * 4) 2 + -2a = (-12 + 12a) Solving 2 + -2a = -12 + 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. 2 + -2a + -12a = -12 + 12a + -12a Combine like terms: -2a + -12a = -14a 2 + -14a = -12 + 12a + -12a Combine like terms: 12a + -12a = 0 2 + -14a = -12 + 0 2 + -14a = -12 Add '-2' to each side of the equation. 2 + -2 + -14a = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -14a = -12 + -2 -14a = -12 + -2 Combine like terms: -12 + -2 = -14 -14a = -14 Divide each side by '-14'. a = 1 Simplifying a = 1
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