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Simplifying 4(2a + 5b + -3) = 0 Reorder the terms: 4(-3 + 2a + 5b) = 0 (-3 * 4 + 2a * 4 + 5b * 4) = 0 (-12 + 8a + 20b) = 0 Solving -12 + 8a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8a + 12 + 20b = 0 + 12 Reorder the terms: -12 + 12 + 8a + 20b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8a + 20b = 0 + 12 8a + 20b = 0 + 12 Combine like terms: 0 + 12 = 12 8a + 20b = 12 Add '-20b' to each side of the equation. 8a + 20b + -20b = 12 + -20b Combine like terms: 20b + -20b = 0 8a + 0 = 12 + -20b 8a = 12 + -20b Divide each side by '8'. a = 1.5 + -2.5b Simplifying a = 1.5 + -2.5b
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