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Simplifying 4(1.5c + 6) + -2a = -9 Reorder the terms: 4(6 + 1.5c) + -2a = -9 (6 * 4 + 1.5c * 4) + -2a = -9 (24 + 6c) + -2a = -9 Reorder the terms: 24 + -2a + 6c = -9 Solving 24 + -2a + 6c = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -2a + -24 + 6c = -9 + -24 Reorder the terms: 24 + -24 + -2a + 6c = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -2a + 6c = -9 + -24 -2a + 6c = -9 + -24 Combine like terms: -9 + -24 = -33 -2a + 6c = -33 Add '-6c' to each side of the equation. -2a + 6c + -6c = -33 + -6c Combine like terms: 6c + -6c = 0 -2a + 0 = -33 + -6c -2a = -33 + -6c Divide each side by '-2'. a = 16.5 + 3c Simplifying a = 16.5 + 3c
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