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Simplifying -222 = 6(5p + 3) Reorder the terms: -222 = 6(3 + 5p) -222 = (3 * 6 + 5p * 6) -222 = (18 + 30p) Solving -222 = 18 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -222 + -30p = 18 + 30p + -30p Combine like terms: 30p + -30p = 0 -222 + -30p = 18 + 0 -222 + -30p = 18 Add '222' to each side of the equation. -222 + 222 + -30p = 18 + 222 Combine like terms: -222 + 222 = 0 0 + -30p = 18 + 222 -30p = 18 + 222 Combine like terms: 18 + 222 = 240 -30p = 240 Divide each side by '-30'. p = -8 Simplifying p = -8
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