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Simplifying 15(z + 3) + -4(1 + p) = 0 Reorder the terms: 15(3 + z) + -4(1 + p) = 0 (3 * 15 + z * 15) + -4(1 + p) = 0 (45 + 15z) + -4(1 + p) = 0 45 + 15z + (1 * -4 + p * -4) = 0 45 + 15z + (-4 + -4p) = 0 Reorder the terms: 45 + -4 + -4p + 15z = 0 Combine like terms: 45 + -4 = 41 41 + -4p + 15z = 0 Solving 41 + -4p + 15z = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -4p + -41 + 15z = 0 + -41 Reorder the terms: 41 + -41 + -4p + 15z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -4p + 15z = 0 + -41 -4p + 15z = 0 + -41 Combine like terms: 0 + -41 = -41 -4p + 15z = -41 Add '-15z' to each side of the equation. -4p + 15z + -15z = -41 + -15z Combine like terms: 15z + -15z = 0 -4p + 0 = -41 + -15z -4p = -41 + -15z Divide each side by '-4'. p = 10.25 + 3.75z Simplifying p = 10.25 + 3.75z
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