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Simplifying 6p + -7(p + -6) + 8(q + -6) = 0 Reorder the terms: 6p + -7(-6 + p) + 8(q + -6) = 0 6p + (-6 * -7 + p * -7) + 8(q + -6) = 0 6p + (42 + -7p) + 8(q + -6) = 0 Reorder the terms: 6p + 42 + -7p + 8(-6 + q) = 0 6p + 42 + -7p + (-6 * 8 + q * 8) = 0 6p + 42 + -7p + (-48 + 8q) = 0 Reorder the terms: 42 + -48 + 6p + -7p + 8q = 0 Combine like terms: 42 + -48 = -6 -6 + 6p + -7p + 8q = 0 Combine like terms: 6p + -7p = -1p -6 + -1p + 8q = 0 Solving -6 + -1p + 8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1p + 6 + 8q = 0 + 6 Reorder the terms: -6 + 6 + -1p + 8q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p + 8q = 0 + 6 -1p + 8q = 0 + 6 Combine like terms: 0 + 6 = 6 -1p + 8q = 6 Add '-8q' to each side of the equation. -1p + 8q + -8q = 6 + -8q Combine like terms: 8q + -8q = 0 -1p + 0 = 6 + -8q -1p = 6 + -8q Divide each side by '-1'. p = -6 + 8q Simplifying p = -6 + 8q
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