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Simplifying 6(2a + -2) + -2(5a + 1) = 4(3a + 4) Reorder the terms: 6(-2 + 2a) + -2(5a + 1) = 4(3a + 4) (-2 * 6 + 2a * 6) + -2(5a + 1) = 4(3a + 4) (-12 + 12a) + -2(5a + 1) = 4(3a + 4) Reorder the terms: -12 + 12a + -2(1 + 5a) = 4(3a + 4) -12 + 12a + (1 * -2 + 5a * -2) = 4(3a + 4) -12 + 12a + (-2 + -10a) = 4(3a + 4) Reorder the terms: -12 + -2 + 12a + -10a = 4(3a + 4) Combine like terms: -12 + -2 = -14 -14 + 12a + -10a = 4(3a + 4) Combine like terms: 12a + -10a = 2a -14 + 2a = 4(3a + 4) Reorder the terms: -14 + 2a = 4(4 + 3a) -14 + 2a = (4 * 4 + 3a * 4) -14 + 2a = (16 + 12a) Solving -14 + 2a = 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. -14 + 2a + -12a = 16 + 12a + -12a Combine like terms: 2a + -12a = -10a -14 + -10a = 16 + 12a + -12a Combine like terms: 12a + -12a = 0 -14 + -10a = 16 + 0 -14 + -10a = 16 Add '14' to each side of the equation. -14 + 14 + -10a = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -10a = 16 + 14 -10a = 16 + 14 Combine like terms: 16 + 14 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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