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Simplifying 7(a + -3 + 4b) = 0 Reorder the terms: 7(-3 + a + 4b) = 0 (-3 * 7 + a * 7 + 4b * 7) = 0 (-21 + 7a + 28b) = 0 Solving -21 + 7a + 28b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 7a + 21 + 28b = 0 + 21 Reorder the terms: -21 + 21 + 7a + 28b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7a + 28b = 0 + 21 7a + 28b = 0 + 21 Combine like terms: 0 + 21 = 21 7a + 28b = 21 Add '-28b' to each side of the equation. 7a + 28b + -28b = 21 + -28b Combine like terms: 28b + -28b = 0 7a + 0 = 21 + -28b 7a = 21 + -28b Divide each side by '7'. a = 3 + -4b Simplifying a = 3 + -4b
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