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Simplifying -222 = -5(3 + 6p) + 3 -222 = (3 * -5 + 6p * -5) + 3 -222 = (-15 + -30p) + 3 Reorder the terms: -222 = -15 + 3 + -30p Combine like terms: -15 + 3 = -12 -222 = -12 + -30p Solving -222 = -12 + -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 = -12 + -30p + 30p Combine like terms: -30p + 30p = 0 -222 + 30p = -12 + 0 -222 + 30p = -12 Add '222' to each side of the equation. -222 + 222 + 30p = -12 + 222 Combine like terms: -222 + 222 = 0 0 + 30p = -12 + 222 30p = -12 + 222 Combine like terms: -12 + 222 = 210 30p = 210 Divide each side by '30'. p = 7 Simplifying p = 7
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