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Simplifying 6p + 2q + -8(6p + -7q + 2r) = 0 6p + 2q + (6p * -8 + -7q * -8 + 2r * -8) = 0 6p + 2q + (-48p + 56q + -16r) = 0 Reorder the terms: 6p + -48p + 2q + 56q + -16r = 0 Combine like terms: 6p + -48p = -42p -42p + 2q + 56q + -16r = 0 Combine like terms: 2q + 56q = 58q -42p + 58q + -16r = 0 Solving -42p + 58q + -16r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-58q' to each side of the equation. -42p + 58q + -58q + -16r = 0 + -58q Combine like terms: 58q + -58q = 0 -42p + 0 + -16r = 0 + -58q -42p + -16r = 0 + -58q Remove the zero: -42p + -16r = -58q Add '16r' to each side of the equation. -42p + -16r + 16r = -58q + 16r Combine like terms: -16r + 16r = 0 -42p + 0 = -58q + 16r -42p = -58q + 16r Divide each side by '-42'. p = 1.380952381q + -0.380952381r Simplifying p = 1.380952381q + -0.380952381r
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