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Simplifying 10(p + -3) = 3(p + 11) Reorder the terms: 10(-3 + p) = 3(p + 11) (-3 * 10 + p * 10) = 3(p + 11) (-30 + 10p) = 3(p + 11) Reorder the terms: -30 + 10p = 3(11 + p) -30 + 10p = (11 * 3 + p * 3) -30 + 10p = (33 + 3p) Solving -30 + 10p = 33 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + 10p + -3p = 33 + 3p + -3p Combine like terms: 10p + -3p = 7p -30 + 7p = 33 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 7p = 33 + 0 -30 + 7p = 33 Add '30' to each side of the equation. -30 + 30 + 7p = 33 + 30 Combine like terms: -30 + 30 = 0 0 + 7p = 33 + 30 7p = 33 + 30 Combine like terms: 33 + 30 = 63 7p = 63 Divide each side by '7'. p = 9 Simplifying p = 9
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