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Simplifying 7(p + -21) + -10 = 3p + 9 Reorder the terms: 7(-21 + p) + -10 = 3p + 9 (-21 * 7 + p * 7) + -10 = 3p + 9 (-147 + 7p) + -10 = 3p + 9 Reorder the terms: -147 + -10 + 7p = 3p + 9 Combine like terms: -147 + -10 = -157 -157 + 7p = 3p + 9 Reorder the terms: -157 + 7p = 9 + 3p Solving -157 + 7p = 9 + 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. -157 + 7p + -3p = 9 + 3p + -3p Combine like terms: 7p + -3p = 4p -157 + 4p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 -157 + 4p = 9 + 0 -157 + 4p = 9 Add '157' to each side of the equation. -157 + 157 + 4p = 9 + 157 Combine like terms: -157 + 157 = 0 0 + 4p = 9 + 157 4p = 9 + 157 Combine like terms: 9 + 157 = 166 4p = 166 Divide each side by '4'. p = 41.5 Simplifying p = 41.5
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