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Simplifying 3(1.2b + -1) + -5a = 4.2 Reorder the terms: 3(-1 + 1.2b) + -5a = 4.2 (-1 * 3 + 1.2b * 3) + -5a = 4.2 (-3 + 3.6b) + -5a = 4.2 Reorder the terms: -3 + -5a + 3.6b = 4.2 Solving -3 + -5a + 3.6b = 4.2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5a + 3 + 3.6b = 4.2 + 3 Reorder the terms: -3 + 3 + -5a + 3.6b = 4.2 + 3 Combine like terms: -3 + 3 = 0 0 + -5a + 3.6b = 4.2 + 3 -5a + 3.6b = 4.2 + 3 Combine like terms: 4.2 + 3 = 7.2 -5a + 3.6b = 7.2 Add '-3.6b' to each side of the equation. -5a + 3.6b + -3.6b = 7.2 + -3.6b Combine like terms: 3.6b + -3.6b = 0.0 -5a + 0.0 = 7.2 + -3.6b -5a = 7.2 + -3.6b Divide each side by '-5'. a = -1.44 + 0.72b Simplifying a = -1.44 + 0.72b
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