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Simplifying 7(3a + -5b + 6) = 0 Reorder the terms: 7(6 + 3a + -5b) = 0 (6 * 7 + 3a * 7 + -5b * 7) = 0 (42 + 21a + -35b) = 0 Solving 42 + 21a + -35b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 21a + -42 + -35b = 0 + -42 Reorder the terms: 42 + -42 + 21a + -35b = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 21a + -35b = 0 + -42 21a + -35b = 0 + -42 Combine like terms: 0 + -42 = -42 21a + -35b = -42 Add '35b' to each side of the equation. 21a + -35b + 35b = -42 + 35b Combine like terms: -35b + 35b = 0 21a + 0 = -42 + 35b 21a = -42 + 35b Divide each side by '21'. a = -2 + 1.666666667b Simplifying a = -2 + 1.666666667b
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