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Simplifying 3(p + -10) + 4(p + -19) = 13 Reorder the terms: 3(-10 + p) + 4(p + -19) = 13 (-10 * 3 + p * 3) + 4(p + -19) = 13 (-30 + 3p) + 4(p + -19) = 13 Reorder the terms: -30 + 3p + 4(-19 + p) = 13 -30 + 3p + (-19 * 4 + p * 4) = 13 -30 + 3p + (-76 + 4p) = 13 Reorder the terms: -30 + -76 + 3p + 4p = 13 Combine like terms: -30 + -76 = -106 -106 + 3p + 4p = 13 Combine like terms: 3p + 4p = 7p -106 + 7p = 13 Solving -106 + 7p = 13 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 7p = 13 + 106 Combine like terms: -106 + 106 = 0 0 + 7p = 13 + 106 7p = 13 + 106 Combine like terms: 13 + 106 = 119 7p = 119 Divide each side by '7'. p = 17 Simplifying p = 17
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