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Simplifying 2(4a + -6b + 3c + -10) = 0 Reorder the terms: 2(-10 + 4a + -6b + 3c) = 0 (-10 * 2 + 4a * 2 + -6b * 2 + 3c * 2) = 0 (-20 + 8a + -12b + 6c) = 0 Solving -20 + 8a + -12b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 8a + -12b + 20 + 6c = 0 + 20 Reorder the terms: -20 + 20 + 8a + -12b + 6c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 8a + -12b + 6c = 0 + 20 8a + -12b + 6c = 0 + 20 Combine like terms: 0 + 20 = 20 8a + -12b + 6c = 20 Add '12b' to each side of the equation. 8a + -12b + 12b + 6c = 20 + 12b Combine like terms: -12b + 12b = 0 8a + 0 + 6c = 20 + 12b 8a + 6c = 20 + 12b Add '-6c' to each side of the equation. 8a + 6c + -6c = 20 + 12b + -6c Combine like terms: 6c + -6c = 0 8a + 0 = 20 + 12b + -6c 8a = 20 + 12b + -6c Divide each side by '8'. a = 2.5 + 1.5b + -0.75c Simplifying a = 2.5 + 1.5b + -0.75c
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