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Simplifying -4(3a + -5b + -7) = 0 Reorder the terms: -4(-7 + 3a + -5b) = 0 (-7 * -4 + 3a * -4 + -5b * -4) = 0 (28 + -12a + 20b) = 0 Solving 28 + -12a + 20b = 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 + -12a + -28 + 20b = 0 + -28 Reorder the terms: 28 + -28 + -12a + 20b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -12a + 20b = 0 + -28 -12a + 20b = 0 + -28 Combine like terms: 0 + -28 = -28 -12a + 20b = -28 Add '-20b' to each side of the equation. -12a + 20b + -20b = -28 + -20b Combine like terms: 20b + -20b = 0 -12a + 0 = -28 + -20b -12a = -28 + -20b Divide each side by '-12'. a = 2.333333333 + 1.666666667b Simplifying a = 2.333333333 + 1.666666667b
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