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Simplifying 4(2a + -2b + 7) = 0 Reorder the terms: 4(7 + 2a + -2b) = 0 (7 * 4 + 2a * 4 + -2b * 4) = 0 (28 + 8a + -8b) = 0 Solving 28 + 8a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 8a + -28 + -8b = 0 + -28 Reorder the terms: 28 + -28 + 8a + -8b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8a + -8b = 0 + -28 8a + -8b = 0 + -28 Combine like terms: 0 + -28 = -28 8a + -8b = -28 Add '8b' to each side of the equation. 8a + -8b + 8b = -28 + 8b Combine like terms: -8b + 8b = 0 8a + 0 = -28 + 8b 8a = -28 + 8b Divide each side by '8'. a = -3.5 + b Simplifying a = -3.5 + b
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