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Simplifying 3p + -2 = 3 + 10(p + 4) Reorder the terms: -2 + 3p = 3 + 10(p + 4) Reorder the terms: -2 + 3p = 3 + 10(4 + p) -2 + 3p = 3 + (4 * 10 + p * 10) -2 + 3p = 3 + (40 + 10p) Combine like terms: 3 + 40 = 43 -2 + 3p = 43 + 10p Solving -2 + 3p = 43 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -2 + 3p + -10p = 43 + 10p + -10p Combine like terms: 3p + -10p = -7p -2 + -7p = 43 + 10p + -10p Combine like terms: 10p + -10p = 0 -2 + -7p = 43 + 0 -2 + -7p = 43 Add '2' to each side of the equation. -2 + 2 + -7p = 43 + 2 Combine like terms: -2 + 2 = 0 0 + -7p = 43 + 2 -7p = 43 + 2 Combine like terms: 43 + 2 = 45 -7p = 45 Divide each side by '-7'. p = -6.428571429 Simplifying p = -6.428571429
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