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Simplifying 5(z + 3) + -4(1 + p) = 0 Reorder the terms: 5(3 + z) + -4(1 + p) = 0 (3 * 5 + z * 5) + -4(1 + p) = 0 (15 + 5z) + -4(1 + p) = 0 15 + 5z + (1 * -4 + p * -4) = 0 15 + 5z + (-4 + -4p) = 0 Reorder the terms: 15 + -4 + -4p + 5z = 0 Combine like terms: 15 + -4 = 11 11 + -4p + 5z = 0 Solving 11 + -4p + 5z = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -4p + -11 + 5z = 0 + -11 Reorder the terms: 11 + -11 + -4p + 5z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4p + 5z = 0 + -11 -4p + 5z = 0 + -11 Combine like terms: 0 + -11 = -11 -4p + 5z = -11 Add '-5z' to each side of the equation. -4p + 5z + -5z = -11 + -5z Combine like terms: 5z + -5z = 0 -4p + 0 = -11 + -5z -4p = -11 + -5z Divide each side by '-4'. p = 2.75 + 1.25z Simplifying p = 2.75 + 1.25z
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