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Simplifying 4p + 3(p + -4) + -8(q + -4) = 0 Reorder the terms: 4p + 3(-4 + p) + -8(q + -4) = 0 4p + (-4 * 3 + p * 3) + -8(q + -4) = 0 4p + (-12 + 3p) + -8(q + -4) = 0 Reorder the terms: 4p + -12 + 3p + -8(-4 + q) = 0 4p + -12 + 3p + (-4 * -8 + q * -8) = 0 4p + -12 + 3p + (32 + -8q) = 0 Reorder the terms: -12 + 32 + 4p + 3p + -8q = 0 Combine like terms: -12 + 32 = 20 20 + 4p + 3p + -8q = 0 Combine like terms: 4p + 3p = 7p 20 + 7p + -8q = 0 Solving 20 + 7p + -8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 7p + -20 + -8q = 0 + -20 Reorder the terms: 20 + -20 + 7p + -8q = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7p + -8q = 0 + -20 7p + -8q = 0 + -20 Combine like terms: 0 + -20 = -20 7p + -8q = -20 Add '8q' to each side of the equation. 7p + -8q + 8q = -20 + 8q Combine like terms: -8q + 8q = 0 7p + 0 = -20 + 8q 7p = -20 + 8q Divide each side by '7'. p = -2.857142857 + 1.142857143q Simplifying p = -2.857142857 + 1.142857143q
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