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Simplifying 2 = 4(2a + -3) + -7a + 4 Reorder the terms: 2 = 4(-3 + 2a) + -7a + 4 2 = (-3 * 4 + 2a * 4) + -7a + 4 2 = (-12 + 8a) + -7a + 4 Reorder the terms: 2 = -12 + 4 + 8a + -7a Combine like terms: -12 + 4 = -8 2 = -8 + 8a + -7a Combine like terms: 8a + -7a = 1a 2 = -8 + 1a Solving 2 = -8 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2 + -1a = -8 + 1a + -1a Combine like terms: 1a + -1a = 0 2 + -1a = -8 + 0 2 + -1a = -8 Add '-2' to each side of the equation. 2 + -2 + -1a = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = -8 + -2 -1a = -8 + -2 Combine like terms: -8 + -2 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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