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Simplifying 18p + 17b + 6c + 3c + -5b + -6a = 0 Reorder the terms: -6a + 17b + -5b + 6c + 3c + 18p = 0 Combine like terms: 17b + -5b = 12b -6a + 12b + 6c + 3c + 18p = 0 Combine like terms: 6c + 3c = 9c -6a + 12b + 9c + 18p = 0 Solving -6a + 12b + 9c + 18p = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. -6a + 12b + 9c + -12b + 18p = 0 + -12b Reorder the terms: -6a + 12b + -12b + 9c + 18p = 0 + -12b Combine like terms: 12b + -12b = 0 -6a + 0 + 9c + 18p = 0 + -12b -6a + 9c + 18p = 0 + -12b Remove the zero: -6a + 9c + 18p = -12b Add '-9c' to each side of the equation. -6a + 9c + -9c + 18p = -12b + -9c Combine like terms: 9c + -9c = 0 -6a + 0 + 18p = -12b + -9c -6a + 18p = -12b + -9c Add '-18p' to each side of the equation. -6a + 18p + -18p = -12b + -9c + -18p Combine like terms: 18p + -18p = 0 -6a + 0 = -12b + -9c + -18p -6a = -12b + -9c + -18p Divide each side by '-6'. a = 2b + 1.5c + 3p Simplifying a = 2b + 1.5c + 3p
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